Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 28.9s)

analyze1.7s (5.8%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
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 123 to 49 computations (60.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 227.0ms (18.8% of total)
...c/correct-round.rkt:119:19: 171.0ms (14.2% of total)
ival-cos: 155.0ms (12.8% of total)
ival-div: 121.0ms (10% of total)
ival-sin: 111.0ms (9.2% of total)
ival-tan: 110.0ms (9.1% of total)
ival-add: 82.0ms (6.8% of total)
ival-<=: 81.0ms (6.7% of total)
ival-pi: 44.0ms (3.6% of total)
ival-atan: 36.0ms (3% of total)
ival-and: 25.0ms (2.1% of total)
ival-sqrt: 23.0ms (1.9% of total)
ival-sub: 16.0ms (1.3% of total)
const: 4.0ms (0.3% of total)
backward-pass: 2.0ms (0.2% of total)

sample4.6s (15.8%)

Results
3.9s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-tan: 628.0ms (18.5% of total)
ival-mult: 587.0ms (17.3% of total)
ival-div: 432.0ms (12.7% of total)
...c/correct-round.rkt:119:19: 359.0ms (10.6% of total)
ival-cos: 320.0ms (9.4% of total)
ival-sin: 287.0ms (8.4% of total)
ival-<=: 262.0ms (7.7% of total)
ival-add: 148.0ms (4.4% of total)
ival-atan: 133.0ms (3.9% of total)
ival-and: 67.0ms (2% of total)
ival-sqrt: 65.0ms (1.9% of total)
ival-pi: 56.0ms (1.6% of total)
ival-sub: 39.0ms (1.1% of total)
const: 12.0ms (0.4% of total)
backward-pass: 5.0ms (0.1% of total)
Bogosity

preprocess272.0ms (0.9%)

Algorithm
2×egg-herbie
Rules
2162×sum3-define
2116×*-lowering-*.f32
2116×*-lowering-*.f64
1452×sum4-define
1212×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0207755
1562704
21187672
33552642
47454642
03249
17246
212144
318142
429542
595342
6354742
7736042
0805042
Stop Event
1×iter limit
1×node limit
1×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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay))))))))
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)))))
(rsqrt (fma (recip (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphay)))) (/ u0 (- 1 u0)) 1))
(/ 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))))))
(rsqrt (fnmadd (recip (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphay)))) (/ u0 (+ 1 u0)) 1))
(/ 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)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) 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)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) alphay)) (square (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg 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)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) alphay)) (square (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg 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)))))))
(neg (rsqrt (fnmadd (recip (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphay)))) (/ u0 (+ 1 u0)) 1)))
(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 (rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) 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))))))
(neg (rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) alphay)) (square (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg 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))))))
(neg (rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) alphay)) (square (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg 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)))))
(rsqrt (+ 1 (/ (/ u1 (- 1 u1)) (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u0 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u0 1/2)))))) 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)))))
(rsqrt (+ 1 (/ (/ alphax (- 1 alphax)) (+ (square (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay u0)))) u0)) (square (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay u0)))) 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)))))
(rsqrt (+ 1 (/ alphay (* (+ (square (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ u0 alphax)))) alphax)) (square (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ u0 alphax)))) u0))) (- 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)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ alphay u1) (tan (* (PI) (fma alphax 2 1/2)))))) u1)) (square (/ (sin (atan (* (/ alphay u1) (tan (* (PI) (fma alphax 2 1/2)))))) 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)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* u1 (/ (tan (* (PI) (fma alphay 2 1/2))) alphax)))) alphax)) (square (/ (sin (atan (* u1 (/ (tan (* (PI) (fma alphay 2 1/2))) alphax)))) 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)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphax alphay)))) alphay)) (square (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphax alphay)))) alphax))))))

explain549.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1951(9.062347539057214e-10 0.0005613732500933111 0.00015414587687700987 0.0014864425174891949)8(0.8550751209259033 0.0018939769361168146 0.00018030060164164752 0.049433544278144836)(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
1893(4.612280463334173e-5 0.0004787000943906605 0.7249996066093445 0.9249991178512573)12(7.047797367931707e-8 0.0002986114704981446 0.08080897480249405 0.005215422250330448)(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 (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))
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-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-(+.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 (/.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-(atan.f32 (*.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 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-#s(literal 1 binary32)
00-0-(*.f32 alphay alphay)
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 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
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 #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-alphax
00-0-u1
00-0-(*.f32 #s(literal 1/2 binary32) (PI.f32))
00-0-(-.f32 #s(literal 1 binary32) u0)
00-0-(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
00-0-#s(literal 1/2 binary32)
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-(/.f32 alphay alphax)
00-0-#s(literal 2 binary32)
00-0-(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))))))))
Results
324.0ms512×0valid
Compiler

Compiled 1750 to 98 computations (94.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 170.0ms
ival-mult: 37.0ms (21.8% of total)
ival-cos: 35.0ms (20.6% of total)
ival-div: 31.0ms (18.3% of total)
ival-tan: 22.0ms (13% of total)
ival-sin: 17.0ms (10% of total)
ival-atan: 11.0ms (6.5% of total)
ival-add: 8.0ms (4.7% of total)
ival-sqrt: 4.0ms (2.4% of total)
ival-pi: 2.0ms (1.2% of total)
ival-sub: 2.0ms (1.2% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 82 to 30 computations (63.4% saved)

prune1.0ms (0%)

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 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay))))))))
Compiler

Compiled 82 to 30 computations (63.4% saved)

simplify165.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay)))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay))))))
✓cost-diff0
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay)))))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay))))))))
Rules
2004×*-lowering-*.f32
2004×*-lowering-*.f64
1990×fma-define
1844×sum5-define
1752×fnmadd-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030468
166357
2117351
3177351
4505351
51690351
65558351
08046351
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 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 (/ (/ 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 (/ (/ 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))))))
(/ (/ 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)))))
(/ u0 (- 1 u0))
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))))
(/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax))
(* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))))
(cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))
(atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))
(* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))
(/ alphay alphax)
alphay
alphax
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
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)))
(sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))
(/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))
(* alphay alphay)
Outputs
(/ 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))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphay alphay))))))))
1
#s(literal 1 binary32)
(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)))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphay alphay)))))))
(+ 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))))))
(+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphay alphay))))))
(/ (/ 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)))))
(/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphay alphay)))))
(/ u0 (- 1 u0))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) 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))))
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphay alphay)))
(/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax))
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax))
(* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))))
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))))
(cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))
(atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))
(* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ alphay alphax)
(/.f32 alphay alphax)
alphay
alphax
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(* alphax alphax)
(*.f32 alphax alphax)
(* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay)))
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphay alphay))
(sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))
(/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))
(/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)

localize183.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.6%
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))))
✓accuracy63.6%
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
Results
113.0ms256×0valid
Compiler

Compiled 588 to 31 computations (94.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-div: 11.0ms (18.2% of total)
ival-mult: 11.0ms (18.2% of total)
ival-tan: 9.0ms (14.9% of total)
ival-sin: 8.0ms (13.2% of total)
ival-cos: 8.0ms (13.2% of total)
ival-add: 4.0ms (6.6% of total)
ival-atan: 3.0ms (5% of total)
ival-sub: 2.0ms (3.3% of total)
ival-sqrt: 2.0ms (3.3% of total)
ival-pi: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series163.0ms (0.6%)

Counts
8 → 288
Calls
Call 1
Inputs
#<alt (/ 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))))))))>
#<alt (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)))))))>
#<alt (+ 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))))))>
#<alt (/ (/ 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)))))>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))>
#<alt (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))))>
#<alt (* (PI) (+ 1/2 (* 2 u1)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))>
#<alt (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))>
#<alt (+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))>
#<alt (sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))>
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Calls

72 calls:

TimeVariablePointExpression
10.0ms
alphax
@inf
(/ 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))))))))
10.0ms
u0
@-inf
(+ 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))))))
9.0ms
alphax
@-inf
(/ 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))))))))
9.0ms
alphay
@inf
(/ 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))))))))
9.0ms
u1
@-inf
(/ 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))))))))

rewrite237.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
4354×*-lowering-*.f32
4354×*-lowering-*.f64
2982×/-lowering-/.f32
2982×/-lowering-/.f64
1904×frac-add
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030280
1148208
2896204
08592204
Stop Event
1×iter limit
1×node limit
Counts
8 → 170
Calls
Call 1
Inputs
(/ 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))))))))
(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 (/ (/ 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))))))
(/ (/ 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)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))
(* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))))
(* (PI) (+ 1/2 (* 2 u1)))
Outputs
(neg.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))))
(neg.f32 (*.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32)))
(exp.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal 1/2 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))))
(*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))))
(neg.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))
(exp.f32 (neg.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))) #s(literal -1 binary32))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal 1/2 binary32))
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(pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) #s(literal -2 binary32))
(pow.f32 (exp.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 2 binary32))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 1/2 binary32))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))
(/.f32 (/.f32 #s(literal -1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (neg.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) #s(literal 2 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 1/2 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal -1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (/.f32 #s(literal -1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(*.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) #s(literal -1/2 binary32))
(*.f32 (exp.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (exp.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
(+.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(+.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)) (*.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 #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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1 (*.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 (*.f32 #s(literal 1/2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))

simplify496.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
7822×*-lowering-*.f32
7822×*-lowering-*.f64
3902×+-lowering-+.f64
3902×+-lowering-+.f32
2226×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073829738
1266024837
0919124837
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))
(sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (* 1/2 (* (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))))
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1
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1
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1
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1
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1
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1
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1
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1
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(/ -1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))
(* -1 (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
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(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
(+ (* 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)))))
(+ (* 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)))))
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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)
(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)
(* 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)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(sqrt (+ 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 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))) (* -1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 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 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))) (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (pow (- 1 u0) 2)))))) (pow alphax 4)) (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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1
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1
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(* 1/2 (PI))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(* 2 (* u1 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1))))
(* 2 (* u1 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))

eval106.0ms (0.4%)

Compiler

Compiled 69269 to 3292 computations (95.2% saved)

prune80.0ms (0.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New70813721
Fresh000
Picked101
Done000
Total70913722
Accuracy
100.0%
Counts
722 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
96.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
▶50.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
97.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
▶51.0%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
96.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
43.5%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
96.2%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))
98.3%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
99.9%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))))
▶99.9%
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32)))
▶92.1%
#s(literal 1 binary32)
Compiler

Compiled 1090 to 684 computations (37.2% saved)

simplify224.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
✓cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
✓cost-diff0
(/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
✓cost-diff0
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) 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 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
✓cost-diff0
(*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0)
✓cost-diff0
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
✓cost-diff0
(log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
✓cost-diff0
(*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
✓cost-diff3168
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32)))
Rules
2812×fma-lowering-fma.f32
2812×fma-lowering-fma.f64
2548×*-lowering-*.f32
2548×*-lowering-*.f64
1686×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0551433
11371327
23511327
311931320
436081320
576151320
083331320
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2))
(* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2)
(log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))))
(/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))
1
(* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))
(+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))
(/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/ 1 (* alphax alphax))
(* alphax alphax)
alphax
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphay
(/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))
(- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2))
(/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(* alphay alphay)
(+ (/ 1 u0) -1)
(/ 1 u0)
u0
-1
-1/2
1
(/ 1 (+ 1 (/ (* (* 1/2 (* alphax alphax)) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
1
(+ 1 (/ (* (* 1/2 (* alphax alphax)) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* (* 1/2 (* alphax alphax)) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* (* 1/2 (* alphax alphax)) u0)
(* 1/2 (* alphax alphax))
1/2
(* alphax alphax)
alphax
u0
(* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
2
u1
(- 1 u0)
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
1
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* u0 (* alphax alphax))
u0
(* alphax alphax)
alphax
(* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(- 1 u0)
(pow (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))) -1/2)
(+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))
1
(/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))
(* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))
(+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))
(/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/ 1 (* alphax alphax))
(* alphax alphax)
alphax
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphay
(/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))
(- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2))
(/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(* alphay alphay)
(+ (/ 1 u0) -1)
(/ 1 u0)
u0
-1
-1/2
Outputs
(exp (* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2)
(*.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))))
(log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay)))))
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(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))
(* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))
(+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay)))
(/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))
(/ 1 (* alphax alphax))
(/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphay
(/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))
(- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2))
(+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32)))
(/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)
(/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(* alphay alphay)
(*.f32 alphay alphay)
(+ (/ 1 u0) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))
(/ 1 u0)
(/.f32 #s(literal 1 binary32) u0)
u0
-1
#s(literal -1 binary32)
-1/2
#s(literal -1/2 binary32)

localize558.0ms (1.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
✓accuracy97.7%
(-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32)))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.6%
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓accuracy63.6%
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.6%
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓accuracy63.6%
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
✓accuracy97.7%
(-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32)))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
Results
297.0ms252×0valid
9.0ms4×1valid
Compiler

Compiled 1520 to 56 computations (96.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-cos: 26.0ms (19.6% of total)
ival-div: 24.0ms (18.1% of total)
ival-mult: 19.0ms (14.3% of total)
ival-pow: 13.0ms (9.8% of total)
ival-add: 10.0ms (7.5% of total)
ival-tan: 10.0ms (7.5% of total)
ival-atan: 8.0ms (6% of total)
compiled-spec: 7.0ms (5.3% of total)
ival-log: 5.0ms (3.8% of total)
ival-exp: 3.0ms (2.3% of total)
ival-sub: 3.0ms (2.3% of total)
ival-sqrt: 2.0ms (1.5% of total)
ival-pi: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 1.0ms (0.8% of total)

series612.0ms (2.1%)

Counts
21 → 864
Calls
Call 1
Inputs
#<alt (exp (* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2))>
#<alt (* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2)>
#<alt (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))))>
#<alt (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))>
#<alt (/ 1 (+ 1 (/ (* (* 1/2 (* alphax alphax)) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))>
#<alt (+ 1 (/ (* (* 1/2 (* alphax alphax)) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))>
#<alt (/ (* (* 1/2 (* alphax alphax)) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))>
#<alt (* (* 1/2 (* alphax alphax)) u0)>
#<alt (/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))>
#<alt (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))>
#<alt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))>
#<alt (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))>
#<alt (pow (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))) -1/2)>
#<alt (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))>
#<alt (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2))>
#<alt (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)>
#<alt (* (PI) (+ 1/2 (* 2 u1)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
Outputs
#<alt (sqrt (/ 1 (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))))) (* -1/2 (* (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2) (- (/ 1 u0) 1))))) (sqrt (/ 1 (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 3))))))>
#<alt (+ (sqrt (/ 1 (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))))) (* (pow alphax 2) (+ (* -1/2 (* (* (pow alphax 2) (+ (* -1 (/ (+ (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3) (- (/ 1 u0) 1)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow alphay 6) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2) (- (/ 1 u0) 1)))))) (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 2))) (+ (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 3) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 4) (pow (- (/ 1 u0) 1) 2))))))) (* 1/4 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 3) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 4) (pow (- (/ 1 u0) 1) 2)))))))))) (sqrt (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))))))) (* -1/2 (* (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2) (- (/ 1 u0) 1))))) (sqrt (/ 1 (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 3))))))))>
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#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<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 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
Calls

216 calls:

TimeVariablePointExpression
93.0ms
u1
@-inf
(* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2)
54.0ms
u1
@inf
(* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2)
40.0ms
alphax
@0
(exp (* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2))
33.0ms
alphay
@inf
(exp (* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2))
31.0ms
u1
@0
(exp (* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2))

rewrite324.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
4670×*-lowering-*.f32
4670×*-lowering-*.f64
3892×/-lowering-/.f32
3892×/-lowering-/.f64
1334×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055642
1264554
21675547
08777547
Stop Event
1×iter limit
1×node limit
Counts
21 → 720
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2))
(* (log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))) -1/2)
(log (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))))
(/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))
(/ 1 (+ 1 (/ (* (* 1/2 (* alphax alphax)) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (/ (* (* 1/2 (* alphax alphax)) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* (* 1/2 (* alphax alphax)) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* (* 1/2 (* alphax alphax)) u0)
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(pow (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1)))) -1/2)
(+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))))
(* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))) (+ (/ 1 u0) -1))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(* (PI) (+ 1/2 (* 2 u1)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
Outputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 #s(literal -1/2 binary32))) (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay)))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))))
(*.f32 (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))))
(log1p.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay)))))
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(*.f32 (/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal -1 binary32)) (/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (neg.f32 alphay)) alphax))
(+.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(+.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)) (*.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 #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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u1)) (*.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))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1 (*.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)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(exp.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(exp.f32 (*.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) #s(literal -1/2 binary32))
(pow.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(/.f32 #s(literal -1 binary32) (neg.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(*.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 1 binary32))
(exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
(exp.f32 (*.f32 (log.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) #s(literal -1 binary32)))
(exp.f32 (+.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
(+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(pow.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) #s(literal -2 binary32))
(-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (cos.f32 #s(literal 0 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(/.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (cos.f32 #s(literal 0 binary32))) #s(literal 2 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (neg.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(/.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (cos.f32 #s(literal 0 binary32)))) #s(literal -2 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) #s(literal 1 binary32))
(*.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (cos.f32 #s(literal 0 binary32))) #s(literal 1/2 binary32))

simplify2.8s (9.8%)

Algorithm
1×egg-herbie
Rules
6472×*-lowering-*.f32
6472×*-lowering-*.f64
3362×+-lowering-+.f64
3362×+-lowering-+.f32
2178×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02002146958
17229133645
08308133645
Stop Event
1×iter limit
1×node limit
Counts
864 → 864
Calls
Call 1
Inputs
(sqrt (/ 1 (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))))))
(+ (sqrt (/ 1 (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))))) (* -1/2 (* (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2) (- (/ 1 u0) 1))))) (sqrt (/ 1 (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 3))))))
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(* -1/2 (log (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))))))
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(* -1/2 (/ (pow alphay 2) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1))))
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(/ (pow alphay 2) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))
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(/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))
(/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))
(/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))
(/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))
(/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))
(/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))
(/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))
(/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))
(/ (pow alphay 2) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (/ 1 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (+ (* -1 (* (pow alphay 2) (+ (* -1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 u0) 1)))))) (/ (* (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))) (- (/ 1 (* (pow alphax 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))) (/ 1 (* (pow alphax 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (/ 1 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 u0) 1)))))) (/ (* (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))) (- (/ 1 (* (pow alphax 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2)))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))) (+ (* -1 (/ (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (* (pow alphax 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 u0) 1))))))))) (+ (* -1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 u0) 1)))))) (/ (* (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))) (- (/ 1 (* (pow alphax 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))) (/ 1 (* (pow alphax 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (/ 1 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
(/ (pow alphay 2) (* (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))
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1
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1
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1
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1
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(* 1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
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(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
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(* 1/2 (* (pow alphax 2) u0))
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(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
(* 1/2 (* (pow alphax 2) u0))
1
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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1
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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))))
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1
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1
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(* 2 (* u1 (PI)))
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(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(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)
(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)
(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)
Outputs
(sqrt (/ 1 (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))
(+ (sqrt (/ 1 (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))))) (* -1/2 (* (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2) (- (/ 1 u0) 1))))) (sqrt (/ 1 (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 3))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32))) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) #s(literal 2 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal 3 binary32))))))
(+ (sqrt (/ 1 (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))))) (* (pow alphax 2) (+ (* -1/2 (* (* (pow alphax 2) (+ (* -1 (/ (+ (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3) (- (/ 1 u0) 1)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow alphay 6) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2) (- (/ 1 u0) 1)))))) (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 2))) (+ (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 3) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 4) (pow (- (/ 1 u0) 1) 2))))))) (* 1/4 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 3) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 4) (pow (- (/ 1 u0) 1) 2)))))))))) (sqrt (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))))))) (* -1/2 (* (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2) (- (/ 1 u0) 1))))) (sqrt (/ 1 (pow (+ 1 (/ 1 (* (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1)))) 3))))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))) (*.f32 (*.f32 alphax alphax) (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (*.f32 alphax alphax) (*.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) 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(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0))))
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(* 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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(* 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)))))))))
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(* -1 (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
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1
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(* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))
(* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))
(* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))
(* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))
(* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))
(* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))
(* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))
(* (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))) (- (/ 1 u0) 1))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))
(/ (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (pow alphay 2))
(*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphay alphay)))
(/ (+ (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))) (pow alphay 2))
(/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay))
(/ (+ (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 u0) 1))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ 1 (* (pow alphax 2) u0))) (/ 1 (pow alphax 2))))) (pow alphay 2))
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(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))

eval1.3s (4.6%)

Compiler

Compiled 274048 to 9337 computations (96.6% saved)

prune499.0ms (1.7%)

Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New2508152523
Fresh448
Picked325
Done000
Total2515212536
Accuracy
100.0%
Counts
2536 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.7%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) #s(literal -1/2 binary32))
98.0%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
▶93.4%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
▶99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
✓99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
98.7%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
▶49.6%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
▶96.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
89.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
50.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
50.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) #s(literal 1 binary32))))
97.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
96.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
▶43.9%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
96.1%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
98.0%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))))))
96.5%
(exp.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
98.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32)))
93.4%
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32)))
✓92.1%
#s(literal 1 binary32)
Compiler

Compiled 1664 to 1114 computations (33.1% saved)

simplify358.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay))
✓cost-diff192
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay)))
✓cost-diff192
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay))))
✓cost-diff192
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
✓cost-diff0
(*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0)
✓cost-diff0
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
✓cost-diff0
(*.f32 u0 (*.f32 alphax alphax))
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))
✓cost-diff0
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
✓cost-diff0
(/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))
✓cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
✓cost-diff0
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
✓cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
Rules
4404×*-lowering-*.f32
4404×*-lowering-*.f64
2220×/-lowering-/.f32
2220×/-lowering-/.f64
1788×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0701400
11881288
25701274
323851255
469131255
083321255
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1)))) -1/2)
(+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1))))
1
(/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1)))
(* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1))
(+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))
(/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/ 1 (* alphax alphax))
(* alphax alphax)
alphax
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphay
(/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))
(pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2)
(sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(* alphay alphay)
(+ (/ 1 u0) -1)
(/ 1 u0)
u0
-1
-1/2
(/ 1 (- 1 (* -1/2 (/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax))))))
1
(- 1 (* -1/2 (/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax)))))
(* -1/2 (/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax))))
-1/2
(/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax)))
(* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
u0
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphax
alphay
(/ (- 1 u0) (* alphax alphax))
(- 1 u0)
(* alphax alphax)
(+ 1 (/ (* -1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
1
(/ (* -1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
(* -1/2 (* u0 (* alphax alphax)))
-1/2
(* u0 (* alphax alphax))
u0
(* alphax alphax)
alphax
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ 1 (+ 1 (/ (* (* 1/2 (* alphay alphay)) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
1
(+ 1 (/ (* (* 1/2 (* alphay alphay)) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* (* 1/2 (* alphay alphay)) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* (* 1/2 (* alphay alphay)) u0)
(* 1/2 (* alphay alphay))
1/2
(* alphay alphay)
alphay
u0
(* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
2
u1
alphax
(- 1 u0)
(pow (+ 1 (/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay)))) -1/2)
(+ 1 (/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay))))
1
(/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay)))
(/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay))
(+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax)))))
(* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(+ (/ 1 u0) -1)
(/ 1 u0)
u0
-1
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
1/2
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
-1/2
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
u1
alphax
(* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))
(* alphay alphay)
(- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax)))
(/ (/ 1 (* alphax alphax)) u0)
(/ 1 (* alphax alphax))
(* alphax alphax)
Outputs
(pow (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1)))) -1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
1
#s(literal 1 binary32)
(/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1)))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))
(+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay)))
(/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))
(/ 1 (* alphax alphax))
(/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphay
(/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2)
(pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(* alphay alphay)
(*.f32 alphay alphay)
(+ (/ 1 u0) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))
(/ 1 u0)
(/.f32 #s(literal 1 binary32) u0)
u0
-1
#s(literal -1 binary32)
-1/2
#s(literal -1/2 binary32)
(/ 1 (- 1 (* -1/2 (/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
1
#s(literal 1 binary32)
(- 1 (* -1/2 (/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax)))))
(+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))))
(* -1/2 (/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax))))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))
-1/2
#s(literal -1/2 binary32)
(/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) u0) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))
(* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) u0)
u0
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphax
alphay
(/ (- 1 u0) (* alphax alphax))
(/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(* alphax alphax)
(*.f32 alphax alphax)
(+ 1 (/ (* -1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax (*.f32 alphax #s(literal -1/2 binary32)))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))
1
#s(literal 1 binary32)
(/ (* -1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
(/.f32 (*.f32 u0 (*.f32 alphax (*.f32 alphax #s(literal -1/2 binary32)))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))
(* -1/2 (* u0 (* alphax alphax)))
(*.f32 u0 (*.f32 alphax (*.f32 alphax #s(literal -1/2 binary32))))
-1/2
#s(literal -1/2 binary32)
(* u0 (* alphax alphax))
(*.f32 alphax (*.f32 alphax u0))
u0
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ 1 (+ 1 (/ (* (* 1/2 (* alphay alphay)) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))))
1
#s(literal 1 binary32)
(+ 1 (/ (* (* 1/2 (* alphay alphay)) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))))
(/ (* (* 1/2 (* alphay alphay)) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))
(* (* 1/2 (* alphay alphay)) u0)
(*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))
(* 1/2 (* alphay alphay))
(*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))
1/2
#s(literal 1/2 binary32)
(* alphay alphay)
(*.f32 alphay alphay)
alphay
u0
(* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(pow (+ 1 (/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay)))) -1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphax alphax)))))) #s(literal -1/2 binary32))
(+ 1 (/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphax alphax))))))
1
#s(literal 1 binary32)
(/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay)))
(/.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphax alphax)))))
(/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay))
(/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphax alphax)))) (*.f32 alphay alphay))
(+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax)))))
(+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphax alphax))))
(* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(+ (/ 1 u0) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))
(/ 1 u0)
(/.f32 #s(literal 1 binary32) u0)
u0
-1
#s(literal -1 binary32)
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
-1/2
#s(literal -1/2 binary32)
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
u1
alphax
(* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))
(*.f32 (*.f32 alphay alphay) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphax alphax)))
(* alphay alphay)
(*.f32 alphay alphay)
(- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax)))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphax alphax))
(/ (/ 1 (* alphax alphax)) u0)
(/.f32 (/.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))
(/ 1 (* alphax alphax))
(/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))
(* alphax alphax)
(*.f32 alphax alphax)

localize1.1s (3.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy97.7%
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy99.2%
(*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0)
✓accuracy99.1%
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.6%
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓accuracy63.6%
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.8%
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.8%
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
Results
915.0ms256×0valid
Compiler

Compiled 1515 to 71 computations (95.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 360.0ms
ival-mult: 114.0ms (31.7% of total)
ival-cos: 60.0ms (16.7% of total)
ival-pow: 48.0ms (13.3% of total)
ival-add: 43.0ms (12% of total)
ival-div: 33.0ms (9.2% of total)
ival-sub: 26.0ms (7.2% of total)
ival-sin: 17.0ms (4.7% of total)
ival-tan: 10.0ms (2.8% of total)
ival-atan: 7.0ms (1.9% of total)
ival-pi: 1.0ms (0.3% of total)
const: 1.0ms (0.3% of total)
backward-pass: 0.0ms (0% of total)

series793.0ms (2.7%)

Counts
29 → 1164
Calls
Call 1
Inputs
#<alt (pow (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1)))) -1/2)>
#<alt (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1))))>
#<alt (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1)))>
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Outputs
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#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))>
#<alt (/ (pow alphay 2) (* (pow alphax 2) u0))>
#<alt (/ (+ (* -1 (/ (* (pow alphay 2) u0) (pow alphax 2))) (/ (pow alphay 2) (pow alphax 2))) u0)>
#<alt (/ (+ (* -1 (/ (* (pow alphay 2) u0) (pow alphax 2))) (/ (pow alphay 2) (pow alphax 2))) u0)>
#<alt (/ (+ (* -1 (/ (* (pow alphay 2) u0) (pow alphax 2))) (/ (pow alphay 2) (pow alphax 2))) u0)>
#<alt (* -1 (/ (pow alphay 2) (pow alphax 2)))>
#<alt (+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))>
#<alt (+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))>
#<alt (+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))>
#<alt (* -1 (/ (pow alphay 2) (pow alphax 2)))>
#<alt (+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))>
#<alt (+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))>
#<alt (+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))>
Calls

291 calls:

TimeVariablePointExpression
176.0ms
alphay
@inf
(pow (+ 1 (/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay)))) -1/2)
131.0ms
alphay
@inf
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
48.0ms
u0
@inf
(pow (+ 1 (/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay)))) -1/2)
34.0ms
alphax
@-inf
(pow (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1)))) -1/2)
28.0ms
alphax
@-inf
(/ 1 (+ 1 (/ (* (* 1/2 (* alphay alphay)) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))

rewrite359.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
4764×/-lowering-/.f32
4764×/-lowering-/.f64
3648×*-lowering-*.f32
3648×*-lowering-*.f64
1206×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070738
1351673
22426651
08535651
Stop Event
1×iter limit
1×node limit
Counts
29 → 767
Calls
Call 1
Inputs
(pow (+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1)))) -1/2)
(+ 1 (/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1))))
(/ 1 (* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1)))
(* (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))) (+ (/ 1 u0) -1))
(/ 1 (- 1 (* -1/2 (/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax))))))
(- 1 (* -1/2 (/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax)))))
(* -1/2 (/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax))))
(/ (* u0 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1 u0) (* alphax alphax)))
(+ 1 (/ (* -1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(/ (* -1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
(* -1/2 (* u0 (* alphax alphax)))
(* u0 (* alphax alphax))
(/ 1 (+ 1 (/ (* (* 1/2 (* alphay alphay)) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (/ (* (* 1/2 (* alphay alphay)) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* (* 1/2 (* alphay alphay)) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* (* 1/2 (* alphay alphay)) u0)
(pow (+ 1 (/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay)))) -1/2)
(+ 1 (/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay))))
(/ 1 (/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay)))
(/ (+ (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))) (* alphay alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(* (PI) (+ 1/2 (* 2 u1)))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(* (* alphay alphay) (- (/ (/ 1 (* alphax alphax)) u0) (/ 1 (* alphax alphax))))
Outputs
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(exp.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))
(neg.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (neg.f32 (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (log.f32 (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
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(/.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))
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(/.f32 (neg.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))))
(/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(/.f32 (*.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (neg.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (neg.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(*.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))))
(*.f32 (*.f32 alphay alphay) (pow.f32 (/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphax) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))
(*.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(*.f32 (pow.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 alphay alphax) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 alphay (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))
(+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 1/2 binary32))
(fma.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 1/2 binary32))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32) #s(literal 1/2 binary32))
(+.f32 (*.f32 (*.f32 alphay alphay) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0)) (*.f32 (*.f32 alphay alphay) (/.f32 #s(literal -1 binary32) (*.f32 alphax alphax))))
(+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (*.f32 alphay alphay)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alphax alphax)) (*.f32 alphay alphay)))
(fma.f32 (*.f32 alphay alphay) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (*.f32 (*.f32 alphay alphay) (/.f32 #s(literal -1 binary32) (*.f32 alphax alphax))))
(fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (*.f32 alphay alphay) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 alphax alphax)) (*.f32 alphay alphay)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (*.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax (*.f32 alphax u0)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphay alphay))))
(/.f32 (*.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax (*.f32 alphax u0)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphay alphay)) (*.f32 alphax (*.f32 alphax u0)))
(/.f32 (neg.f32 (*.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))) (neg.f32 (*.f32 alphax (*.f32 alphax u0))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphay alphay))) (neg.f32 (*.f32 alphax (*.f32 alphax u0))))
(*.f32 alphay (*.f32 alphay (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) (*.f32 alphax alphax))))
(*.f32 (*.f32 alphay alphay) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) (*.f32 alphax alphax)))
(*.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) (*.f32 alphax alphax)) (*.f32 alphay alphay))
(*.f32 (*.f32 alphay (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) (*.f32 alphax alphax))) alphay)

simplify1.1s (3.9%)

Algorithm
1×egg-herbie
Rules
5158×*-lowering-*.f32
5158×*-lowering-*.f64
3624×+-lowering-+.f64
3624×+-lowering-+.f32
2910×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02267102878
1725593637
0818793637
Stop Event
1×iter limit
1×node limit
Counts
1164 → 1164
Calls
Call 1
Inputs
(sqrt (/ 1 (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))))))
(+ (sqrt (/ 1 (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))))) (* -1/2 (* (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (- (/ 1 u0) 1))))) (sqrt (/ 1 (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))))) (* (pow alphax 2) (+ (* -1/2 (* (* (pow alphax 2) (+ (* -1 (/ (+ (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 3) (- (/ 1 u0) 1)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow alphay 6) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (- (/ 1 u0) 1)))))) (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 2))) (+ (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 3) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 4) (pow (- (/ 1 u0) 1) 2))))))) (* 1/4 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 3) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 4) (pow (- (/ 1 u0) 1) 2)))))))))) (sqrt (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))))))) (* -1/2 (* (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (- (/ 1 u0) 1))))) (sqrt (/ 1 (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 3))))))))
(+ (sqrt (/ 1 (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))))) (* (pow alphax 2) (+ (* -1/2 (* (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (- (/ 1 u0) 1))))) (sqrt (/ 1 (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 3))))) (* (pow alphax 2) (+ (* -1/2 (* (sqrt (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))))) (+ (* -1 (/ (+ (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 3) (- (/ 1 u0) 1)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow alphay 6) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (- (/ 1 u0) 1)))))) (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 2))) (+ (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 3) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 4) (pow (- (/ 1 u0) 1) 2))))))) (* 1/4 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow 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1
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(/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))
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(/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))
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(/ (pow alphay 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- (/ 1 u0) 1)))
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(* -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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))
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1
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(/ 1 (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0)))))
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(+ (* u1 (- (* u1 (- (* -1 (* u1 (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* -1 (/ (* (pow alphay 4) (* (pow u0 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 (cos (* 1/2 (PI))) 2) (* (pow (- 1 u0) 2) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0)))) 3))))) (* 1/2 (/ (* (pow alphay 2) (* u0 (+ (* 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)))) (* (- 1 u0) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0)))) 2))))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (cos (* 1/2 (PI))) (* (- 1 u0) (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0)))))))) (+ (* -1/2 (/ (* (pow alphay 4) (* (pow u0 2) (* (sin (* 1/2 (PI))) (* (+ (* 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)) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (cos (* 1/2 (PI))) (* (pow (- 1 u0) 2) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0)))) 3))))) (* 1/2 (/ (* (pow alphay 2) (* u0 (+ (* 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)))))))) (* (- 1 u0) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0)))) 2)))))))) (+ (* -1 (/ (* (pow alphay 4) (* (pow u0 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 (cos (* 1/2 (PI))) 2) (* (pow (- 1 u0) 2) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0)))) 3))))) (* 1/2 (/ (* (pow alphay 2) (* u0 (+ (* 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)))) (* (- 1 u0) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0)))) 2))))))) (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (cos (* 1/2 (PI))) (* (- 1 u0) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0)))) 2)))))) (/ 1 (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0))))))
(/ 1 (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(+ (* -1/2 (/ (* (pow alphax 2) u0) (* (- 1 u0) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 2)))) (/ 1 (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
(+ (* (pow alphax 2) (- (* 1/4 (/ (* (pow alphax 2) (pow u0 2)) (* (pow (- 1 u0) 2) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 3)))) (* 1/2 (/ u0 (* (- 1 u0) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 2)))))) (/ 1 (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
(+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1/8 (/ (* (pow alphax 2) (pow u0 3)) (* (pow (- 1 u0) 3) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 4)))) (* -1/4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 3)))))) (* 1/2 (/ u0 (* (- 1 u0) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 2)))))) (/ 1 (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
(* 2 (/ (- 1 u0) (* (pow alphax 2) u0)))
(/ (+ (* -4 (/ (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (* (pow alphax 2) (pow u0 2)))) (* 2 (/ (- 1 u0) u0))) (pow alphax 2))
(/ (- (+ (* 2 (/ (- 1 u0) u0)) (* 8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 2)) (* (pow alphax 4) (pow u0 3))))) (* 4 (/ (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (* (pow alphax 2) (pow u0 2))))) (pow alphax 2))
(/ (- (+ (* -16 (/ (* (pow (- 1 u0) 4) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 3)) (* (pow alphax 6) (pow u0 4)))) (* 2 (/ (- 1 u0) u0))) (+ (* -8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 2)) (* (pow alphax 4) (pow u0 3)))) (* 4 (/ (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (* (pow alphax 2) (pow u0 2)))))) (pow alphax 2))
(* 2 (/ (- 1 u0) (* (pow alphax 2) u0)))
(/ (+ (* -4 (/ (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (* (pow alphax 2) (pow u0 2)))) (* 2 (/ (- 1 u0) u0))) (pow alphax 2))
(/ (- (+ (* 2 (/ (- 1 u0) u0)) (* 8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 2)) (* (pow alphax 4) (pow u0 3))))) (* 4 (/ (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (* (pow alphax 2) (pow u0 2))))) (pow alphax 2))
(/ (- (+ (* -16 (/ (* (pow (- 1 u0) 4) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 3)) (* (pow alphax 6) (pow u0 4)))) (* 2 (/ (- 1 u0) u0))) (+ (* -8 (/ (* (pow (- 1 u0) 3) (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) 2)) (* (pow alphax 4) (pow u0 3)))) (* 4 (/ (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (* (pow alphax 2) (pow u0 2)))))) (pow alphax 2))
(/ 1 (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))))
(+ (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 2))))) (/ 1 (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))))
(+ (* (pow alphay 2) (- (* 1/4 (/ (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1 u0) 2) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 3))))) (* 1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 2))))))) (/ 1 (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))))
(+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1/8 (/ (* (pow alphay 2) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (- 1 u0) 3) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 4))))) (* -1/4 (/ (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1 u0) 2) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 3))))))) (* 1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 2))))))) (/ 1 (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))))
(* 2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(/ (+ (* -4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* 2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow alphay 2))
(/ (- (+ (* 2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 8 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (- 1 u0) 3) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 2))) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* 4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (pow alphay 2))
(/ (- (+ (* -16 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (- 1 u0) 4) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 3))) (* (pow alphay 6) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (* 2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (+ (* -8 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (- 1 u0) 3) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 2))) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (* 4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))))) (pow alphay 2))
(* 2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(/ (+ (* -4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* 2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow alphay 2))
(/ (- (+ (* 2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 8 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (- 1 u0) 3) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 2))) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* 4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (pow alphay 2))
(/ (- (+ (* -16 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (- 1 u0) 4) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 3))) (* (pow alphay 6) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (* 2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (+ (* -8 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (- 1 u0) 3) (pow (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) 2))) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (* 4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1 u0) 2) (- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))))) (pow alphay 2))
1
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(* 1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))
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(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(* 1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))
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(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))
(- (+ 1 (* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))
(- (+ 1 (* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))
(- (+ 1 (* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))
(* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
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(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
(* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
(* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* u0 (+ (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* (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))))))))
(* u0 (+ (* -1/2 (* (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)))))) (* u0 (+ (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* (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))))))))))
(* u0 (+ (* -1/2 (* (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)))))) (* u0 (+ (* -1/2 (* (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)))))) (* u0 (+ (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* (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))))))))))))
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(+ (* 1/2 (* (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 (/ (* (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))))) u0)) (+ (* 1/2 (/ (* (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 u0 2))) (* 1/2 (/ (* (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 u0 3))))))
(* 1/2 (* (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 (* (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 (/ (* (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))))) u0)))
(+ (* -1 (/ (+ (* -1/2 (* (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 (/ (* (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))))) u0))) u0)) (* 1/2 (* (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)))))))
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(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
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(/ (* (pow alphax 2) u0) (- 1 u0))
(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(/ (* (pow alphax 2) u0) (- 1 u0))
(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(/ (* (pow alphax 2) u0) (- 1 u0))
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(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))
1
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(* u0 (+ (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 u0)))
(* u0 (+ (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 u0)))
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1
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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(* -1/2 (* (pow alphax 2) u0))
(* -1/2 (* (pow alphax 2) u0))
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(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
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(* (pow alphax 2) u0)
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(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1/8 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)))) (* -1/4 (/ (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)))))))
(* 2 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)) (* (pow alphay 2) u0)))
(/ (+ (* -4 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2)))) (* 2 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)) u0))) (pow alphay 2))
(/ (- (+ (* 2 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)) u0)) (* 8 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (* (pow alphay 4) (pow u0 3))))) (* 4 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))
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(* 2 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)) (* (pow alphay 2) u0)))
(/ (+ (* -4 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2)))) (* 2 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)) u0))) (pow alphay 2))
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(/ (- (+ (* -16 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (pow (- 1 u0) 4)) (* (pow alphay 6) (pow u0 4)))) (* 2 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)) u0))) (+ (* -8 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (* (pow alphay 4) (pow u0 3)))) (* 4 (/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2)))))) (pow alphay 2))
1
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(/ 1 (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
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1
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1
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1
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(/ (pow alphay 2) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphay 2) (* (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))) (- (/ 1 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))))))) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))) (/ 1 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
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(/ 1 (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
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(/ 1 (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
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(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphay 2) (+ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- (/ 1 u0) 1)) (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))))
(/ (pow alphax 2) (- (/ 1 u0) 1))
(* (pow alphax 2) (+ (* -1 (* (pow alphax 2) (+ (* -1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (* (pow alphay 2) (- (/ 1 u0) 1)))) (* 1/2 (/ 1 (* (pow alphay 2) (- (/ 1 u0) 1))))))) (/ 1 (- (/ 1 u0) 1))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (+ (* -1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (* (pow alphay 2) (- (/ 1 u0) 1)))) (* 1/2 (/ 1 (* (pow alphay 2) (- (/ 1 u0) 1))))))) (pow alphay 2)) (+ (* -1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (* (pow alphay 2) (- (/ 1 u0) 1)))) (* 1/2 (/ 1 (* (pow alphay 2) (- (/ 1 u0) 1))))))) (/ 1 (- (/ 1 u0) 1))))
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(/ (pow alphay 2) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))
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(/ (pow alphay 2) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))
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(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/ (pow alphay 2) (* (pow alphax 2) u0))
(/ (+ (* -1 (/ (* (pow alphay 2) u0) (pow alphax 2))) (/ (pow alphay 2) (pow alphax 2))) u0)
(/ (+ (* -1 (/ (* (pow alphay 2) u0) (pow alphax 2))) (/ (pow alphay 2) (pow alphax 2))) u0)
(/ (+ (* -1 (/ (* (pow alphay 2) u0) (pow alphax 2))) (/ (pow alphay 2) (pow alphax 2))) u0)
(* -1 (/ (pow alphay 2) (pow alphax 2)))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(* -1 (/ (pow alphay 2) (pow alphax 2)))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
Outputs
(sqrt (/ 1 (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))
(+ (sqrt (/ 1 (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))))) (* -1/2 (* (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (- (/ 1 u0) 1))))) (sqrt (/ 1 (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 3))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))) (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32))) (*.f32 (pow.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal 3 binary32))))))
(+ (sqrt (/ 1 (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))))) (* (pow alphax 2) (+ (* -1/2 (* (* (pow alphax 2) (+ (* -1 (/ (+ (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 3) (- (/ 1 u0) 1)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow alphay 6) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (- (/ 1 u0) 1)))))) (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 2))) (+ (* -1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 3) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 4) (pow (- (/ 1 u0) 1) 2))))))) (* 1/4 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 3) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 4) (pow (- (/ 1 u0) 1) 2)))))))))) (sqrt (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))))))) (* -1/2 (* (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (- (/ 1 u0) 1))))) (sqrt (/ 1 (pow (+ 1 (/ 1 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))) 3))))))))
(+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))) (*.f32 (*.f32 alphax alphax) (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (*.f32 alphax alphax) (*.f32 (+.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 8 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 8 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 8 binary32))) (*.f32 (pow.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) #s(literal 3 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32)) (*.f32 (*.f32 (pow.f32 alphay #s(literal 6 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32))) (*.f32 (pow.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal 2 binary32)))) (*.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 8 binary32)) (*.f32 (*.f32 (pow.f32 alphay #s(literal 8 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 8 binary32))) (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal 3 binary32)) (*.f32 (pow.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) #s(literal 4 binary32)) (*.f32 (+.f32 (/.f32 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(/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))
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(/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))
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(/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))
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(/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))
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(/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))
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(/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1)))
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(/ (pow alphay 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- (/ 1 u0) 1)))
(/.f32 (*.f32 alphay alphay) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 u0) 1) 2))))))) (/ 1 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- (/ 1 u0) 1)))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (+ (* -1 (* (pow alphay 2) (+ (* -1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- (/ 1 u0) 1)))))) (/ (* (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))) (- (/ 1 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 u0) 1) 2))))))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- (/ 1 u0) 1)))))) (/ 1 (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 u0) 1) 2))))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 u0) 1) 2))))))) (/ 1 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- (/ 1 u0) 1)))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))))))
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(* u0 (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(* u0 (+ (* u0 (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(* -1 (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(* (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))
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(* (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))
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(* (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))
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(* (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))
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(* (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))
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(* (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))
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(* (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))
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(* (+ (/ 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- (/ 1 u0) 1))
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(/ (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- (/ 1 u0) 1)) (pow alphay 2))
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(/ (+ (* (pow alphay 2) (- (+ (* (pow alphay 2) (+ (* -1 (/ (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 u0) 1)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (/ 1 u0) 1))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (/ 1 (* (pow alphax 2) u0))) (/ 1 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- (/ 1 u0) 1))) (pow alphay 2))
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(- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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))))
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(- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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))))
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(- 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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))))
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(- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(- (+ 1 (* 1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(- (+ 1 (* 1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(- (+ 1 (* 1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(* 1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
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(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
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(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
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(* 1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
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(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
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(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
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(- 1 (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))
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(- (+ 1 (* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))
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(- (+ 1 (* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))
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(- (+ 1 (* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))))
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(* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
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(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
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(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 (*.f32 alphax alphax) (*.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
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(* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 (*.f32 alphax alphax) (*.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 (*.f32 alphax alphax) (*.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 (*.f32 alphax alphax) (*.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))
(* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))
(* u0 (+ (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* (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 u0 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))
(* u0 (+ (* -1/2 (* (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)))))) (* u0 (+ (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* (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 u0 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))))
(* u0 (+ (* -1/2 (* (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)))))) (* u0 (+ (* -1/2 (* (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)))))) (* u0 (+ (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* (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 u0 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))))))
(* 1/2 (* (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))))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(+ (* 1/2 (* (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 (/ (* (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))))) u0)))
(*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) u0)))
(+ (* 1/2 (* (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 (/ (* (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))))) u0)) (* 1/2 (/ (* (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 u0 2)))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) u0))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 u0)))
(+ (* 1/2 (* (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 (/ (* (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))))) u0)) (+ (* 1/2 (/ (* (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 u0 2))) (* 1/2 (/ (* (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 u0 3))))))
(+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) u0))) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 u0)) (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 (*.f32 u0 u0))))))
(* 1/2 (* (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))))))
(*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(+ (* 1/2 (* (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 (/ (* (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))))) u0)))
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(* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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)))
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(* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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)))
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(* -1/2 (/ (* (pow alphax 2) (* u0 (+ 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)))
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(* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
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(+ (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphax 2) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* (pow alphax 2) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* (pow alphax 2) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphax 2) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* (pow alphax 2) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* (pow alphax 2) (+ (* -1/2 (/ u0 (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0)))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))
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(+ (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(+ (* -1/2 (/ (* (pow alphax 2) u0) (- 1 u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
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(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
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(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
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(* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
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(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
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(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
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(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* -1/2 (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
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(* (pow alphax 2) (* u0 (+ 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 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* u0 (+ (* (pow alphax 2) (* u0 (+ 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)))))))
(*.f32 u0 (*.f32 (*.f32 alphax alphax) (+.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))))
(* u0 (+ (* u0 (- (* (pow alphax 2) (* u0 (+ 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)))))))) (* (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 u0 (+.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 (-.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))))))
(* u0 (+ (* u0 (- (* u0 (- (* (pow alphax 2) (* u0 (+ 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 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)))))))
(*.f32 u0 (+.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 (+.f32 (*.f32 u0 (-.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))))
(* -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))))))
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(+ (* -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 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))))) u0)))
(*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) 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 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 u0 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))))) u0))
(-.f32 (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 u0)))) (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) 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 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 u0 3)))) (+ (/ (* (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))))) u0) (/ (* (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 u0 2))))
(-.f32 (*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 (*.f32 u0 u0))))) (+.f32 (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (*.f32 u0 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))))))
(*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(+ (* -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 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))))) u0)))
(*.f32 #s(literal -1 binary32) (+.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (*.f32 alphax alphax) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) 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 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))))) u0)) u0)))
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(+ (* -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 (/ (+ (* -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 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))))) u0))) u0)) (* (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)))))) u0)))
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#s(literal 1 binary32)
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(* u0 (+ (* u0 (- (/ (* (pow alphay 2) (* u0 (pow (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2)))) 2))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (/ (pow alphay 2) (pow alphax 2)))) 3)) (/ (* (pow alphay 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2))))) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (/ (pow alphay 2) (pow alphax 2)))) 2)))) (/ (pow alphay 2) (+ 1/2 (+ (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (/ (pow alphay 2) (pow alphax 2)))))))
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(/ (pow alphay 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2)))))
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(- (+ (/ (* (pow alphay 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (/ (pow alphay 2) (pow alphax 2)))) 2)) (* (pow u0 2) (pow (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2)))) 3))) (/ (pow alphay 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2)))))) (/ (* (pow alphay 2) (+ 1/2 (+ (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (/ (pow alphay 2) (pow alphax 2))))) (* u0 (pow (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2)))) 2))))
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(- (+ (* -1 (/ (* (pow alphay 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (/ (pow alphay 2) (pow alphax 2)))) 3)) (* (pow u0 3) (pow (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2)))) 4)))) (/ (pow alphay 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2)))))) (+ (* -1 (/ (* (pow alphay 2) (pow (+ 1/2 (+ (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (/ (pow alphay 2) (pow alphax 2)))) 2)) (* (pow u0 2) (pow (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2)))) 3)))) (/ (* (pow alphay 2) (+ 1/2 (+ (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (/ (pow alphay 2) (pow alphax 2))))) (* u0 (pow (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2)))) 2)))))
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(/ (pow alphay 2) (+ (* -1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (pow alphax 2)))))
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(/ (pow alphay 2) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ 1 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphay 2) (* (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))) (- (/ 1 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))))))) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))) (/ 1 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* (pow (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))) 2) (- (/ 1 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))))))) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))) (/ (* (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))) (- (/ 1 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2)))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1))))) (/ 1 (* (pow alphax 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))) (/ 1 (* (pow alphax 2) (* u0 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 u0) 1) 2))))))) (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
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(/ 1 (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
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(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(* (pow alphay 2) (- (/ 1 (* (pow alphax 2) u0)) (/ 1 (pow alphax 2))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphay 2) (- (/ 1 u0) 1)) (pow alphax 2))
(/.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (*.f32 alphax alphax))
(/ (pow alphay 2) (* (pow alphax 2) u0))
(/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0))
(/ (+ (* -1 (/ (* (pow alphay 2) u0) (pow alphax 2))) (/ (pow alphay 2) (pow alphax 2))) u0)
(/.f32 (+.f32 (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax)) (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 alphay alphay) u0)) (*.f32 alphax alphax))) u0)
(/ (+ (* -1 (/ (* (pow alphay 2) u0) (pow alphax 2))) (/ (pow alphay 2) (pow alphax 2))) u0)
(/.f32 (+.f32 (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax)) (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 alphay alphay) u0)) (*.f32 alphax alphax))) u0)
(/ (+ (* -1 (/ (* (pow alphay 2) u0) (pow alphax 2))) (/ (pow alphay 2) (pow alphax 2))) u0)
(/.f32 (+.f32 (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax)) (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 alphay alphay) u0)) (*.f32 alphax alphax))) u0)
(* -1 (/ (pow alphay 2) (pow alphax 2)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 alphax alphax))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 alphax alphax)) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0)))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 alphax alphax)) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0)))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 alphax alphax)) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0)))
(* -1 (/ (pow alphay 2) (pow alphax 2)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 alphax alphax))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 alphax alphax)) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0)))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 alphax alphax)) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0)))
(+ (* -1 (/ (pow alphay 2) (pow alphax 2))) (/ (pow alphay 2) (* (pow alphax 2) u0)))
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 alphax alphax)) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0)))

eval583.0ms (2%)

Compiler

Compiled 195993 to 10069 computations (94.9% saved)

prune370.0ms (1.3%)

Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New2572202592
Fresh41014
Picked505
Done022
Total2581322613
Accuracy
100.0%
Counts
2613 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.4%
(pow.f32 (+.f32 (/.f32 alphay (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) (*.f32 alphax alphax)))) alphay)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
98.0%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
89.3%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
93.2%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
93.4%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphay alphay))) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))) #s(literal -1/2 binary32))
✓99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
98.7%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
▶13.3%
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
89.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))))
89.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
▶50.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))
96.2%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) #s(literal 1 binary32)))
96.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
96.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
95.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
▶50.4%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
50.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) #s(literal 1 binary32))))
97.9%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
▶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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
43.9%
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
96.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
95.6%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
93.0%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))))))
89.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) alphax))) #s(literal 2 binary32))))
▶96.1%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
89.1%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
81.8%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
93.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))))
98.0%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))
96.5%
(exp.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
98.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32)))
✓92.1%
#s(literal 1 binary32)
Compiler

Compiled 2386 to 1600 computations (32.9% saved)

simplify249.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))
✓cost-diff0
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
✓cost-diff0
(*.f32 alphay alphay)
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay))
✓cost-diff0
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
✓cost-diff0
(*.f32 (*.f32 alphax alphax) u0)
✓cost-diff0
(-.f32 #s(literal 1 binary32) u0)
✓cost-diff0
(*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0))
✓cost-diff0
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
✓cost-diff0
(/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay)))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))
✓cost-diff0
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay)))))))
✓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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
Rules
4782×*-lowering-*.f32
4782×*-lowering-*.f64
3000×/-lowering-/.f32
3000×/-lowering-/.f64
1702×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0701254
11971144
27161129
333641123
479431123
085551123
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))))
1
(sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))))))
(+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))
(/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))))
u0
(* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))
(- 1 u0)
(+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))
(/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/ 1 (* alphax alphax))
(* alphax alphax)
alphax
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphay
(/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))
(- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2))
(/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(* alphay alphay)
(/ (* 2 (- 1 u0)) (* (* alphax alphax) u0))
(* 2 (- 1 u0))
2
(- 1 u0)
1
u0
(* (* alphax alphax) u0)
(* alphax alphax)
alphax
(+ 1 (/ (* -1/2 (* alphay alphay)) (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
1
(/ (* -1/2 (* alphay alphay)) (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* -1/2 (* alphay alphay))
-1/2
(* alphay alphay)
alphay
(* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(+ (/ 1 u0) -1)
(/ 1 u0)
u0
-1
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
1/2
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
u1
alphax
(/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
1
(+ 1 (/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
(* 1/2 (* u0 (* alphax alphax)))
1/2
(* u0 (* alphax alphax))
u0
(* alphax alphax)
alphax
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
2
u1
(/ 1 (- 1 (* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
1
(- 1 (* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
-1/2
(* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (* alphax alphax) u0)
(* alphax alphax)
alphax
u0
(+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))
(* alphay alphay)
alphay
(pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)
(sin (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)
(cos (* (PI) (+ 1/2 (* 2 u1))))
Outputs
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay)))))))
1
#s(literal 1 binary32)
(sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))))
(+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay)))))
(/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))
u0
(* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay)))
(/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))
(/ 1 (* alphax alphax))
(/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphay
(/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))
(/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))
(- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2))
(+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32)))
(/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)
(/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(* alphay alphay)
(*.f32 alphay alphay)
(/ (* 2 (- 1 u0)) (* (* alphax alphax) u0))
(/.f32 (+.f32 #s(literal -2 binary32) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax))
(* 2 (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))
2
#s(literal 2 binary32)
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
1
#s(literal 1 binary32)
u0
(* (* alphax alphax) u0)
(*.f32 u0 (*.f32 alphax alphax))
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(+ 1 (/ (* -1/2 (* alphay alphay)) (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) #s(literal -1/2 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
1
#s(literal 1 binary32)
(/ (* -1/2 (* alphay alphay)) (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(/.f32 (*.f32 (*.f32 alphay alphay) #s(literal -1/2 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(* -1/2 (* alphay alphay))
(*.f32 (*.f32 alphay alphay) #s(literal -1/2 binary32))
-1/2
#s(literal -1/2 binary32)
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(+ (/ 1 u0) -1)
(+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))
(/ 1 u0)
(/.f32 #s(literal 1 binary32) u0)
u0
-1
#s(literal -1 binary32)
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
u1
alphax
(/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal 1/2 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal 1/2 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))
(/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
(/.f32 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal 1/2 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))
(* 1/2 (* u0 (* alphax alphax)))
(*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(* u0 (* alphax alphax))
(*.f32 u0 (*.f32 alphax alphax))
u0
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ 1 (- 1 (* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax (*.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (/.f32 (/.f32 (*.f32 alphay alphay) alphax) alphax)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))))))
1
#s(literal 1 binary32)
(- 1 (* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(+.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax (*.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (/.f32 (/.f32 (*.f32 alphay alphay) alphax) alphax)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))
(* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(*.f32 (*.f32 u0 (*.f32 alphax alphax)) (+.f32 #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (/.f32 (/.f32 (*.f32 alphay alphay) alphax) alphax)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
-1/2
#s(literal -1/2 binary32)
(* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 u0 (*.f32 alphax (*.f32 alphax (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (/.f32 (/.f32 (*.f32 alphay alphay) alphax) alphax)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))
(* (* alphax alphax) u0)
(*.f32 u0 (*.f32 alphax alphax))
(* alphax alphax)
(*.f32 alphax alphax)
alphax
u0
(+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (/.f32 (/.f32 (*.f32 alphay alphay) alphax) alphax)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (/.f32 (/.f32 (*.f32 alphay alphay) alphax) alphax)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))
(* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))
(*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)
(pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))
(sin (* (PI) (+ 1/2 (* 2 u1))))
(sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))
(pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))

localize607.0ms (2.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.7%
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
✓accuracy98.4%
(pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))
✓accuracy63.4%
(cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.6%
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓accuracy63.6%
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy99.1%
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy97.7%
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy100.0%
(*.f32 alphax alphax)
✓accuracy100.0%
(*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0))
✓accuracy99.1%
(*.f32 (*.f32 alphax alphax) u0)
✓accuracy99.0%
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
✓accuracy97.7%
(-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32)))
✓accuracy63.1%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
Results
348.0ms256×0valid
Compiler

Compiled 1327 to 71 computations (94.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 49.0ms (28.3% of total)
ival-cos: 36.0ms (20.8% of total)
ival-div: 30.0ms (17.4% of total)
ival-add: 13.0ms (7.5% of total)
ival-pow: 11.0ms (6.4% of total)
ival-tan: 10.0ms (5.8% of total)
ival-sin: 8.0ms (4.6% of total)
ival-atan: 6.0ms (3.5% of total)
ival-sub: 4.0ms (2.3% of total)
ival-sqrt: 2.0ms (1.2% of total)
ival-pi: 1.0ms (0.6% of total)
const: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series470.0ms (1.6%)

Counts
31 → 1020
Calls
Call 1
Inputs
#<alt (/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))))>
#<alt (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))))))>
#<alt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))>
#<alt (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))))>
#<alt (/ (* 2 (- 1 u0)) (* (* alphax alphax) u0))>
#<alt (* 2 (- 1 u0))>
#<alt (- 1 u0)>
#<alt (* (* alphax alphax) u0)>
#<alt (+ 1 (/ (* -1/2 (* alphay alphay)) (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))>
#<alt (/ (* -1/2 (* alphay alphay)) (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))>
#<alt (* -1/2 (* alphay alphay))>
#<alt (* alphay alphay)>
#<alt (/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))>
#<alt (+ 1 (/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))>
#<alt (/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))>
#<alt (* 1/2 (* u0 (* alphax alphax)))>
#<alt (/ 1 (- 1 (* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))>
#<alt (- 1 (* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))>
#<alt (* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))>
#<alt (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2))>
#<alt (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)>
#<alt (* (PI) (+ 1/2 (* 2 u1)))>
#<alt (* alphax alphax)>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (cos (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)>
#<alt (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))>
#<alt (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))>
#<alt (+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))>
#<alt (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (* (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3))))) (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3))))) (+ (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (* 1/2 (* (/ (- (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2)))) (+ (* -1 (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2)))) (* (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (* 1/2 (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (* (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow 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#<alt (+ (* u1 (+ (* -4 (* (PI) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* u1 (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))))))) (pow (cos (* 1/2 (PI))) 2))>
#<alt (+ (* u1 (+ (* -4 (* (PI) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* u1 (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* u1 (+ (* 8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* 8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))))))))))) (pow (cos (* 1/2 (PI))) 2))>
#<alt (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)>
#<alt (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)>
#<alt (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)>
#<alt (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)>
#<alt (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)>
#<alt (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)>
#<alt (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)>
#<alt (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))>
#<alt (+ (* u1 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))) (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))>
#<alt (+ (* u1 (- (+ (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* u1 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))) (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))>
#<alt (+ (* u1 (- (+ (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* u1 (- (+ (* u1 (- (/ (* (pow alphay 2) (+ (* -8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* -8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (cos (* 1/2 (PI))))) (+ (/ (* (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))) (pow (cos (* 1/2 (PI))) 2)) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* 8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* 8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))) (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
Calls

255 calls:

TimeVariablePointExpression
181.0ms
u1
@0
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))))
22.0ms
alphay
@inf
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))))
14.0ms
alphax
@0
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))))
11.0ms
u1
@0
(sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))))))
9.0ms
u0
@-inf
(/ 1 (- 1 (* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))

rewrite695.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
4826×/-lowering-/.f32
4826×/-lowering-/.f64
3892×*-lowering-*.f32
3892×*-lowering-*.f64
1250×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070632
1354535
22401508
08505508
Stop Event
1×iter limit
1×node limit
Counts
31 → 971
Calls
Call 1
Inputs
(/ 1 (sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))))
(sqrt (+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))))))
(+ 1 (/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay))))))
(/ u0 (* (- 1 u0) (+ (/ (/ 1 (* alphax alphax)) (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (/ (- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2)) (* alphay alphay)))))
(/ (* 2 (- 1 u0)) (* (* alphax alphax) u0))
(* 2 (- 1 u0))
(- 1 u0)
(* (* alphax alphax) u0)
(+ 1 (/ (* -1/2 (* alphay alphay)) (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(/ (* -1/2 (* alphay alphay)) (* (+ (/ 1 u0) -1) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* -1/2 (* alphay alphay))
(* alphay alphay)
(/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(/ (* 1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
(* 1/2 (* u0 (* alphax alphax)))
(/ 1 (- 1 (* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(- 1 (* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* -1/2 (* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* (* (* alphax alphax) u0) (+ 1 (/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(- 1/2 (/ (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) 2))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(* (PI) (+ 1/2 (* 2 u1)))
(* alphax alphax)
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(cos (* (PI) (+ 1/2 (* 2 u1))))
(pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)
(/ (* (* alphay alphay) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (* alphax alphax) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay)))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
(exp.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
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(*.f32 (pow.f32 (/.f32 alphax (*.f32 alphay alphay)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 alphax (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 alphax (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 alphax (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphay alphay)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 alphax alphax) alphay) #s(literal -1 binary32)) (pow.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal -1 binary32)) (pow.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay)) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay)) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) alphay) #s(literal -1 binary32)) (pow.f32 (/.f32 (*.f32 alphax alphax) (*.f32 alphay (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))
(*.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 alphax)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (neg.f32 alphax)) #s(literal 2 binary32)) (pow.f32 (neg.f32 alphay) #s(literal 2 binary32)))

simplify917.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
6134×*-lowering-*.f32
6134×*-lowering-*.f64
2928×+-lowering-+.f64
2928×+-lowering-+.f32
2142×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0180697877
1658488328
0812988328
Stop Event
1×iter limit
1×node limit
Counts
1020 → 1020
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (* (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3))))) (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))))
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(- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (* 1/2 (* (/ (- (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2)))) (+ (* -1 (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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)))) 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1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))))))) (* -1 (/ (* u0 (+ (* -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 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (- (* 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) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))))))) (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))))))) (* (/ (* (pow alphay 2) (* u0 (* (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 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2)))))) (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))))))
(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))))) (* 1/2 (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))))))))
(* alphay (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0))))))
(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (+ (* 1/4 (/ (* (- 1 u0) (* (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) 2) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 4)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))))))
(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (+ (* 1/4 (/ (* (- 1 u0) (* (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) 2) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 4)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (* -1/2 (/ (* (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (+ (* 1/4 (/ (* (- 1 u0) (* (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) 2) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (* (- 1 u0) (* (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) u0)) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))))) (pow alphay 6)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0))))))))
(* -1 (* alphay (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
(* -1 (* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))))))
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(+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))
(+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))
(+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))
(+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))
1
(+ 1 (/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
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(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
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(* -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 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))))) (* -2 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 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(/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))
(/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))
(/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))
(/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))
(/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))
(/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))
(/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))
(/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))
(/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (+ (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (+ (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
(/ 2 (* (pow alphax 2) u0))
(/ (+ (* -2 (/ u0 (pow alphax 2))) (* 2 (/ 1 (pow alphax 2)))) u0)
(/ (+ (* -2 (/ u0 (pow alphax 2))) (* 2 (/ 1 (pow alphax 2)))) u0)
(/ (+ (* -2 (/ u0 (pow alphax 2))) (* 2 (/ 1 (pow alphax 2)))) u0)
(/ -2 (pow alphax 2))
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(* 2 (/ (- 1 u0) (* (pow alphax 2) u0)))
2
(+ 2 (* -2 u0))
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1
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(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
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(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
1
(+ 1 (* -1/2 (/ (pow alphay 2) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
(+ 1 (* -1/2 (/ (pow alphay 2) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
(+ 1 (* -1/2 (/ (pow alphay 2) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1)))))
(* -1/2 (/ (pow alphay 2) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (* 1/2 (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (* 1/2 (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (* 1/2 (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1))))))
(* -1/2 (/ (pow alphay 2) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (* 1/2 (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (* 1/2 (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (* 1/2 (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 u0) 1))))))
1
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(/ (+ (* -4 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphax 2) (pow u0 2)))) (* 2 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0))) (pow alphax 2))
(/ (- (+ (* 2 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0)) (* 8 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphax 4) (pow u0 3))))) (* 4 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphax 2) (pow u0 2))))) (pow alphax 2))
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(/ 2 (* (pow alphax 2) u0))
(/ (+ (* -4 (/ (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (pow u0 2)))) (* 2 (/ 1 u0))) (pow alphax 2))
(/ (- (+ (* 8 (/ (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 2) (* (pow alphax 4) (pow u0 3)))) (* 2 (/ 1 u0))) (* 4 (/ (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (pow u0 2))))) (pow alphax 2))
(/ (- (+ (* -16 (/ (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 3) (* (pow alphax 6) (pow u0 4)))) (* 2 (/ 1 u0))) (+ (* -8 (/ (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 2) (* (pow alphax 4) (pow u0 3)))) (* 4 (/ (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (pow u0 2)))))) (pow alphax 2))
(/ 2 (* (pow alphax 2) u0))
(/ (+ (* -4 (/ (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (pow u0 2)))) (* 2 (/ 1 u0))) (pow alphax 2))
(/ (- (+ (* 8 (/ (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 2) (* (pow alphax 4) (pow u0 3)))) (* 2 (/ 1 u0))) (* 4 (/ (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (pow u0 2))))) (pow alphax 2))
(/ (- (+ (* -16 (/ (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 3) (* (pow alphax 6) (pow u0 4)))) (* 2 (/ 1 u0))) (+ (* -8 (/ (pow (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 2) (* (pow alphax 4) (pow u0 3)))) (* 4 (/ (- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (pow u0 2)))))) (pow alphax 2))
1
(+ 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (- (* 1/4 (* (pow alphax 4) (* u0 (pow (+ 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 (* (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 (* u0 (- (* u0 (- (* -1/8 (* (pow alphax 6) (* u0 (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 3)))) (* -1/4 (* (pow alphax 4) (pow (+ 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 (* (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)))))))))
(/ 2 (* (pow alphax 2) (* u0 (+ 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 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))))))) (* 4 (/ 1 (* (pow alphax 4) (* u0 (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 2)))))) u0)
(/ (- (+ (* 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))))))) (/ 8 (* (pow alphax 6) (* (pow u0 2) (pow (+ 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 (* (pow alphax 4) (* u0 (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 2))))) u0)
(/ (- (+ (* 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))))))) (* 8 (/ 1 (* (pow alphax 6) (* (pow u0 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 3)))))) (+ (* 16 (/ 1 (* (pow alphax 8) (* (pow u0 3) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 4))))) (/ 4 (* (pow alphax 4) (* u0 (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 2)))))) u0)
(/ 2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* -1 (/ (- (* 4 (/ 1 (* (pow alphax 4) (* u0 (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 2))))) (* 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)))))))) u0))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* (pow alphax 6) (* u0 (pow (+ 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 alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 2))))) u0)) (* 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)))))))) u0))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow alphax 8) (* u0 (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 4))))) (* 8 (/ 1 (* (pow alphax 6) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 3))))) u0)) (* 4 (/ 1 (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) 2))))) u0)) (* 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)))))))) u0))
(/ 1 (- 1 (* -1/2 (* (pow alphax 2) u0))))
(+ (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 2)))) (/ 1 (- 1 (* -1/2 (* (pow alphax 2) u0)))))
(+ (* (pow alphay 2) (- (* 1/4 (/ (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 3)))) (* 1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 2)))))) (/ 1 (- 1 (* -1/2 (* (pow alphax 2) u0)))))
(+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1/8 (/ (* (pow alphay 2) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 4)))) (* -1/4 (/ (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 3)))))) (* 1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 2)))))) (/ 1 (- 1 (* -1/2 (* (pow alphax 2) u0)))))
(* 2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(/ (+ (* -4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 (* -1/2 (* (pow alphax 2) u0)))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* 2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow alphay 2))
(/ (- (+ (* 2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 8 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 2)) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* 4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 (* -1/2 (* (pow alphax 2) u0)))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (pow alphay 2))
(/ (- (+ (* -16 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 3)) (* (pow alphay 6) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (* 2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (+ (* -8 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 2)) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (* 4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 (* -1/2 (* (pow alphax 2) u0)))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))))) (pow alphay 2))
(* 2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(/ (+ (* -4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 (* -1/2 (* (pow alphax 2) u0)))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* 2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow alphay 2))
(/ (- (+ (* 2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 8 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 2)) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* 4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 (* -1/2 (* (pow alphax 2) u0)))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (pow alphay 2))
(/ (- (+ (* -16 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 3)) (* (pow alphay 6) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (* 2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (+ (* -8 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- 1 (* -1/2 (* (pow alphax 2) u0))) 2)) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (* 4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 (* -1/2 (* (pow alphax 2) u0)))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))))) (pow alphay 2))
(/ 1 (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))
(+ (* -1/2 (/ (* (pow alphax 2) (* u0 (* u1 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))))) (pow (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) 2))) (/ 1 (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))
(+ (* u1 (- (* -1 (* u1 (+ (* -1/4 (/ (* (pow alphax 4) (* (pow u0 2) (pow (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))) 2))) (pow (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) 3))) (* 1/2 (/ (* (pow alphax 2) (* u0 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (pow (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) 2)))))) (* 1/2 (/ (* (pow alphax 2) (* u0 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (pow (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) 2))))) (/ 1 (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))
(+ (* u1 (- (* u1 (- (* -1 (* u1 (+ (* -1/2 (/ (* (pow alphax 2) (* u0 (* (+ (* -1/4 (/ (* (pow alphax 4) (* (pow u0 2) (pow (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))) 2))) (pow (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) 3))) (* 1/2 (/ (* (pow alphax 2) (* u0 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (pow (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) 2)))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))))) (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) (+ (* -1/4 (/ (* (pow alphax 4) (* (pow u0 2) (* (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))) (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4)))))))) (pow (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) 3))) (* 1/2 (/ (* (pow alphax 2) (* u0 (- (/ (* (pow alphay 2) (+ (* -8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* -8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (cos (* 1/2 (PI))))) (+ (/ (* (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow 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(/ 1 (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))))
(- 1 (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(- (+ 1 (* 1/2 (* (pow alphax 2) u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(- (+ 1 (* 1/2 (* (pow alphax 2) u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(- (+ 1 (* 1/2 (* (pow alphax 2) u0))) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(* 1/2 (* (pow alphax 2) u0))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* 1/2 (* (pow alphax 2) u0))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
1
(+ 1 (* 1/2 (* (pow alphax 2) (* u0 (+ 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 (* 1/2 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 u0) (* -1/2 (* (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))))))))
(* u0 (- (/ 1 u0) (* -1/2 (* (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))))))))
(* u0 (- (/ 1 u0) (* -1/2 (* (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 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(* u0 (+ (* 1/2 (* (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 u0)))
(* u0 (+ (* 1/2 (* (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 u0)))
(* u0 (+ (* 1/2 (* (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 u0)))
(- 1 (* -1/2 (* (pow alphax 2) u0)))
(- (+ 1 (* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* -1/2 (* (pow alphax 2) u0)))
(- (+ 1 (* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* -1/2 (* (pow alphax 2) u0)))
(- (+ 1 (* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* -1/2 (* (pow alphax 2) u0)))
(* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2))))))
(* 1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2))))))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2))))))
(- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(- (+ 1 (* 1/2 (* (pow alphax 2) (* u0 (* u1 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))))))) (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(- (+ 1 (* u1 (- (* 1/2 (* (pow alphax 2) (* u0 (* u1 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))))) (* -1/2 (* (pow alphax 2) (* u0 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))))))) (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
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(* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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(+ (* -1/2 (* (pow alphax 2) u0)) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(* -1/2 (* (pow alphax 2) u0))
(* (pow alphax 2) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* (pow alphax 2) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* (pow alphax 2) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* -1/2 (* (pow alphax 2) u0))
(* (pow alphax 2) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* (pow alphax 2) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* (pow alphax 2) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) u0))
(+ (* -1/2 (* (pow alphax 2) u0)) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(+ (* -1/2 (* (pow alphax 2) u0)) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(+ (* -1/2 (* (pow alphax 2) u0)) (* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2)))))
(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2)))))
(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2)))))
(* -1/2 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2)))))
(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2)))))
(* (pow alphay 2) (+ (* -1/2 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* -1/2 (/ (* (pow alphax 2) u0) (pow alphay 2)))))
(* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))
(+ (* -1/2 (* (pow alphax 2) (* u0 (* u1 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))))) (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(+ (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* u1 (+ (* -1/2 (* (pow alphax 2) (* u0 (* u1 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))))) (* -1/2 (* (pow alphax 2) (* u0 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))))))))
(+ (* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* u1 (+ (* -1/2 (* (pow alphax 2) (* u0 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))))) (* u1 (+ (* -1/2 (* (pow alphax 2) (* u0 (* u1 (- (/ (* (pow alphay 2) (+ (* -8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* -8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (cos (* 1/2 (PI))))) (+ (/ (* (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))) (pow (cos (* 1/2 (PI))) 2)) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* 8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* 8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4)))))))))) (* -1/2 (* (pow alphax 2) (* u0 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4)))))))))))))
(* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (pow alphax 2) u0)
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) u0)
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (* u0 (+ 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) (* u0 (+ 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) (* u0 (+ 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) (* u0 (+ 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) (* u0 (+ 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) (* u0 (+ 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) (* u0 (+ 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) (* u0 (+ 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) (* u0 (+ 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) (* u0 (+ 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) (* u0 (+ 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) (* u0 (+ 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) u0)
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 2) u0) (pow alphay 2))))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 2) u0) (pow alphay 2))))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 2) u0) (pow alphay 2))))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 2) u0) (pow alphay 2))))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 2) u0) (pow alphay 2))))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 2) u0) (pow alphay 2))))
(* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
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(+ (* u1 (+ (* (pow alphax 2) (* u0 (* u1 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4)))))))) (* (pow alphax 2) (* u0 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))))) (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))
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(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
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(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 u0 (-.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (-.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) #s(literal 2 binary32))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 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(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) #s(literal 3 binary32))))))) (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) 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(sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
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(*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))) (*.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (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 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 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(/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (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))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) #s(literal 2 binary32)))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (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))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay))))))))))))))))
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(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
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(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
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(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
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(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
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(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
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(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
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(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))))) (* 1/2 (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (+.f32 (/.f32 (*.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 u0 u0)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32)))))) (/.f32 (*.f32 #s(literal 1/2 binary32) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (*.f32 (*.f32 alphay alphay) (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (*.f32 alphay alphay) (-.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (+.f32 (/.f32 (*.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 u0 u0)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (/.f32 (*.f32 u0 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) (*.f32 (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))))) (+.f32 (/.f32 (*.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 u0 u0)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32)))))))))))
(* alphay (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(*.f32 alphay (sqrt.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0))))))
(*.f32 alphay (+.f32 (sqrt.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)))) (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) u0))) (*.f32 alphay alphay)))))
(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (+ (* 1/4 (/ (* (- 1 u0) (* (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) 2) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 4)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))))))
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(* -1 (* alphay (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))))))
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(* u0 (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
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(* u0 (+ (* u0 (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
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(/ -1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
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(* -1 (+ (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 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))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
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(/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (-.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (+.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (-.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))) (/.f32 (*.f32 u0 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) (*.f32 (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))))) (/.f32 (*.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (+.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (*.f32 (*.f32 alphay alphay) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (-.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 #s(literal 1/2 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alphax)))))) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) (-.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))) (/.f32 (*.f32 u0 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) (*.f32 (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))))))) (/.f32 (*.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))
(* (pow alphay 2) (+ (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
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(/ 1 (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (- 1 (* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) u0))
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(* 1/2 (* (pow alphax 2) u0))
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(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (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) (- (/ 1 (pow alphax 2)) (+ (* -1/2 u0) (* -1/2 (/ (* (pow alphay 2) (* u0 (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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(* 1/2 (* (pow alphax 2) (* u0 (+ 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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(* u0 (- (/ 1 u0) (* -1/2 (* (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))))))))
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(* u0 (- (/ 1 u0) (* -1/2 (* (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))))))))
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(* u0 (- (/ 1 u0) (* -1/2 (* (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))))))))
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(* -1/2 (* (pow alphax 2) u0))
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(* -1/2 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 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 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))
(* -1/2 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))))
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+.f32 (*.f32 u0 (*.f32 alphax alphax)) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+.f32 (*.f32 u0 (*.f32 alphax alphax)) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+.f32 (*.f32 u0 (*.f32 alphax alphax)) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(* (pow alphax 2) u0)
(*.f32 u0 (*.f32 alphax alphax))
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (+.f32 u0 (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (+.f32 u0 (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (+.f32 u0 (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) u0)
(*.f32 u0 (*.f32 alphax alphax))
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (+.f32 u0 (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (+.f32 u0 (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (+ u0 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphax alphax) (+.f32 u0 (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) (* u0 (+ 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 u0 (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))
(* (pow alphax 2) u0)
(*.f32 u0 (*.f32 alphax alphax))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+.f32 (*.f32 u0 (*.f32 alphax alphax)) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+.f32 (*.f32 u0 (*.f32 alphax alphax)) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(+ (* (pow alphax 2) u0) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+.f32 (*.f32 u0 (*.f32 alphax alphax)) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 2) u0) (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 alphay alphay))))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 2) u0) (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 alphay alphay))))
(* (pow alphay 2) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 2) u0) (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 alphay alphay))))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))
(/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))
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#s(literal 1/2 binary32) (PI.f32))) #s(literal 3 binary32)))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 3 binary32))))))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))
(/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))

eval432.0ms (1.5%)

Compiler

Compiled 176382 to 9378 computations (94.7% saved)

prune389.0ms (1.3%)

Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New2481142495
Fresh42125
Picked505
Done112
Total2491362527
Accuracy
100.0%
Counts
2527 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.4%
(pow.f32 (+.f32 (/.f32 alphay (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) (*.f32 alphax alphax)))) alphay)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
98.0%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
93.2%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
93.4%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphay alphay))) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))) #s(literal -1/2 binary32))
98.7%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
13.3%
(/.f32 (*.f32 u0 (+.f32 (/.f32 #s(literal 2 binary32) u0) #s(literal -2 binary32))) (*.f32 (*.f32 alphax alphax) u0))
89.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))))
50.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) #s(literal -1/2 binary32)))))
89.3%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
50.0%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))))))))
89.5%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))))
96.2%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) #s(literal 1 binary32)))
96.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
96.5%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
95.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
40.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))))))
50.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) #s(literal 1 binary32))))
97.6%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
98.2%
(/.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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
95.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
43.9%
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
96.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
93.0%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))))))
95.3%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
96.1%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
89.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) alphax))) #s(literal 2 binary32))))
96.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
89.1%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
81.8%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
13.3%
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 #s(literal 2 binary32) u0))
95.6%
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
93.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))))
98.0%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))
98.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32)))
✓92.1%
#s(literal 1 binary32)
Compiler

Compiled 3730 to 1326 computations (64.5% saved)

regimes271.0ms (0.9%)

Counts
64 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 #s(literal 2 binary32) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))))
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(/.f32 (*.f32 u0 (+.f32 (/.f32 #s(literal 2 binary32) u0) #s(literal -2 binary32))) (*.f32 (*.f32 alphax alphax) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(exp.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.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 alphay alphay)) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 (/.f32 alphay (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) (*.f32 alphax alphax)))) alphay)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphay alphay))) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay))))))))
(/.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
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
Calls

13 calls:

26.0ms
(/.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))))
21.0ms
u1
20.0ms
u0
19.0ms
alphax
18.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
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)

regimes109.0ms (0.4%)

Counts
55 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 #s(literal 2 binary32) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))))
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(/.f32 (*.f32 u0 (+.f32 (/.f32 #s(literal 2 binary32) u0) #s(literal -2 binary32))) (*.f32 (*.f32 alphax alphax) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(exp.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.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 alphay alphay)) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 (/.f32 alphay (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) (*.f32 alphax alphax)))) alphay)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphay alphay))) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
Outputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
Calls

4 calls:

34.0ms
alphay
17.0ms
u1
16.0ms
u0
14.0ms
alphax
Results
AccuracySegmentsBranch
98.7%1u0
98.7%1u1
98.7%1alphax
98.7%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes106.0ms (0.4%)

Counts
53 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 #s(literal 2 binary32) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))))
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(/.f32 (*.f32 u0 (+.f32 (/.f32 #s(literal 2 binary32) u0) #s(literal -2 binary32))) (*.f32 (*.f32 alphax alphax) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(exp.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.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 alphay alphay)) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 (/.f32 alphay (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) (*.f32 alphax alphax)))) alphay)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphay alphay))) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))))) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))))))))
Outputs
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
Calls

4 calls:

39.0ms
u0
16.0ms
alphay
14.0ms
alphax
14.0ms
u1
Results
AccuracySegmentsBranch
98.3%1u0
98.3%1u1
98.3%1alphax
98.3%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes62.0ms (0.2%)

Counts
46 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 #s(literal 2 binary32) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))))
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(/.f32 (*.f32 u0 (+.f32 (/.f32 #s(literal 2 binary32) u0) #s(literal -2 binary32))) (*.f32 (*.f32 alphax alphax) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(exp.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.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 alphay alphay)) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (*.f32 alphay alphay) (*.f32 (*.f32 alphax alphax) u0))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 (/.f32 alphay (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (*.f32 alphay alphay) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal 1 binary32)) (*.f32 alphax alphax)))) alphay)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) u0)) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) u0) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
Outputs
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))
Calls

4 calls:

13.0ms
u1
12.0ms
alphay
12.0ms
u0
12.0ms
alphax
Results
AccuracySegmentsBranch
98.0%1u0
98.0%1u1
98.0%1alphax
98.0%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes54.0ms (0.2%)

Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 #s(literal 2 binary32) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))))
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(/.f32 (*.f32 u0 (+.f32 (/.f32 #s(literal 2 binary32) u0) #s(literal -2 binary32))) (*.f32 (*.f32 alphax alphax) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(exp.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
Outputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
Calls

4 calls:

11.0ms
u1
11.0ms
u0
11.0ms
alphax
10.0ms
alphay
Results
AccuracySegmentsBranch
98.0%1u0
98.0%1u1
98.0%1alphax
98.0%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes51.0ms (0.2%)

Counts
37 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 #s(literal 2 binary32) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))))
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(/.f32 (*.f32 u0 (+.f32 (/.f32 #s(literal 2 binary32) u0) #s(literal -2 binary32))) (*.f32 (*.f32 alphax alphax) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(exp.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
Calls

4 calls:

12.0ms
u1
11.0ms
alphay
10.0ms
u0
10.0ms
alphax
Results
AccuracySegmentsBranch
96.5%1u0
96.5%1u1
96.5%1alphax
96.5%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes38.0ms (0.1%)

Counts
30 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 #s(literal 2 binary32) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))))
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(/.f32 (*.f32 u0 (+.f32 (/.f32 #s(literal 2 binary32) u0) #s(literal -2 binary32))) (*.f32 (*.f32 alphax alphax) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphax alphax) (-.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 3/4 binary32) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
Outputs
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
Calls

4 calls:

10.0ms
alphay
9.0ms
u1
8.0ms
alphax
8.0ms
u0
Results
AccuracySegmentsBranch
96.4%1u0
96.4%1alphax
96.4%1alphay
96.4%1u1
Compiler

Compiled 20 to 16 computations (20% saved)

regimes42.0ms (0.1%)

Accuracy

Total -26.6b remaining (-1054.7%)

Threshold costs -26.6b (-1054.7%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax)) (/.f32 #s(literal 2 binary32) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))))
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) u0)) (*.f32 (*.f32 alphax alphax) u0))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphax alphax)) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))
(/.f32 (*.f32 u0 (+.f32 (/.f32 #s(literal 2 binary32) u0) #s(literal -2 binary32))) (*.f32 (*.f32 alphax alphax) u0))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphax alphax) u0)) (-.f32 #s(literal 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))) (*.f32 (*.f32 u0 (*.f32 alphax alphax)) #s(literal -1/2 binary32)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal 2 binary32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 alphax alphax))))))
Outputs
#s(literal 1 binary32)
Calls

4 calls:

29.0ms
alphay
4.0ms
alphax
4.0ms
u0
4.0ms
u1
Results
AccuracySegmentsBranch
92.1%1u0
92.1%1u1
92.1%1alphax
92.1%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

simplify29.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
48×*-commutative_binary32
44×+-commutative_binary32
12×sub-neg_binary32
8×neg-sub0_binary32
8×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098271
1141271
2151271
3159271
4165271
5167271
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
#s(literal 1 binary32)
Outputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) #s(literal 2 binary32))) (*.f32 alphay alphay))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) #s(literal -1/2 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))))
#s(literal 1 binary32)

soundness4.7s (16.3%)

Rules
7822×*-lowering-*.f32
7822×*-lowering-*.f64
6472×*-lowering-*.f32
6472×*-lowering-*.f64
6134×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02002146958
17229133645
08308133645
03249
17246
212144
318142
429542
595342
6354742
7736042
0805042
02267102878
1725593637
0818793637
073829738
1266024837
0919124837
070632
1354535
22401508
08505508
030280
1148208
2896204
08592204
0180697877
1658488328
0812988328
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 405 to 187 computations (53.8% saved)

preprocess68.0ms (0.2%)

Compiler

Compiled 734 to 254 computations (65.4% saved)

end0.0ms (0%)

Profiling

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