Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 30.0s)

analyze1.7s (5.7%)

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: 228.0ms (18.4% of total)
ival-div: 171.0ms (13.8% of total)
ival-tan: 167.0ms (13.4% of total)
...c/correct-round.rkt:119:19: 135.0ms (10.9% of total)
ival-cos: 134.0ms (10.8% of total)
ival-sin: 127.0ms (10.2% of total)
ival-<=: 94.0ms (7.6% of total)
ival-add: 51.0ms (4.1% of total)
ival-atan: 44.0ms (3.5% of total)
ival-sqrt: 25.0ms (2% of total)
ival-and: 24.0ms (1.9% of total)
ival-sub: 21.0ms (1.7% of total)
ival-pi: 14.0ms (1.1% of total)
const: 5.0ms (0.4% of total)
backward-pass: 2.0ms (0.2% of total)

sample4.9s (16.4%)

Results
4.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.5s
ival-mult: 881.0ms (25.1% of total)
ival-div: 473.0ms (13.5% of total)
ival-tan: 375.0ms (10.7% of total)
ival-sin: 358.0ms (10.2% of total)
ival-cos: 354.0ms (10.1% of total)
...c/correct-round.rkt:119:19: 330.0ms (9.4% of total)
ival-<=: 221.0ms (6.3% of total)
ival-add: 168.0ms (4.8% of total)
ival-atan: 123.0ms (3.5% of total)
ival-sqrt: 71.0ms (2% of total)
ival-and: 61.0ms (1.7% of total)
ival-sub: 43.0ms (1.2% of total)
ival-pi: 37.0ms (1.1% of total)
const: 13.0ms (0.4% of total)
backward-pass: 4.0ms (0.1% of total)
Bogosity

preprocess398.0ms (1.3%)

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
1640704
21271672
33658642
47572642
03249
18046
212944
318942
430742
597242
6357142
7738942
0808042
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 (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)) (/.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)))))))
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)))))
(fast-isqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ alphay alphax) (fast-tan (* (PI) (fma 2 u1 1/2)))))) alphax)) (square (/ (fast-sin (atan (* (/ alphay alphax) (fast-tan (* (PI) (fma 2 u1 1/2)))))) alphay))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) (neg u0)) (- 1 (neg u0))))))
(fast-isqrt (fnmadd (recip (+ (square (/ (cos (atan (* (/ alphay alphax) (fast-tan (* (PI) (fma 2 u1 1/2)))))) alphax)) (square (/ (fast-sin (atan (* (/ alphay alphax) (fast-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)))))
(fast-isqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ alphay alphax) (fast-tan (* (PI) (fma u1 -2 1/2)))))) alphax)) (square (/ (fast-sin (atan (* (/ alphay alphax) (fast-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)))))
(fast-isqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (fast-sin (atan (* alphay (/ (fast-tan (* (PI) (fma 2 u1 1/2))) (neg alphax))))) alphay)) (square (/ (cos (atan (* alphay (/ (fast-tan (* (PI) (fma 2 u1 1/2))) (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)))))
(fast-isqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (fast-sin (atan (* alphay (/ (fast-tan (* (PI) (fma 2 u1 1/2))) (neg alphax))))) alphay)) (square (/ (cos (atan (* alphay (/ (fast-tan (* (PI) (fma 2 u1 1/2))) (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 (fast-isqrt (fnmadd (recip (+ (square (/ (cos (atan (* (/ alphay alphax) (fast-tan (* (PI) (fma 2 u1 1/2)))))) alphax)) (square (/ (fast-sin (atan (* (/ alphay alphax) (fast-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 (fast-isqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ alphay alphax) (fast-tan (* (PI) (fma u1 -2 1/2)))))) alphax)) (square (/ (fast-sin (atan (* (/ alphay alphax) (fast-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 (fast-isqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (fast-sin (atan (* alphay (/ (fast-tan (* (PI) (fma 2 u1 1/2))) (neg alphax))))) alphay)) (square (/ (cos (atan (* alphay (/ (fast-tan (* (PI) (fma 2 u1 1/2))) (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 (fast-isqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (fast-sin (atan (* alphay (/ (fast-tan (* (PI) (fma 2 u1 1/2))) (neg alphax))))) alphay)) (square (/ (cos (atan (* alphay (/ (fast-tan (* (PI) (fma 2 u1 1/2))) (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)))))
(fast-isqrt (+ 1 (/ (/ u1 (- 1 u1)) (+ (square (/ (cos (atan (* (/ alphay alphax) (fast-tan (* (PI) (fma 2 u0 1/2)))))) alphax)) (square (/ (fast-sin (atan (* (/ alphay alphax) (fast-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)))))
(fast-isqrt (+ 1 (/ (/ alphax (- 1 alphax)) (+ (square (/ (cos (atan (* (fast-tan (* (PI) (fma 2 u1 1/2))) (/ alphay u0)))) u0)) (square (/ (fast-sin (atan (* (fast-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)))))
(fast-isqrt (+ 1 (/ (/ alphay (- 1 alphay)) (+ (square (/ (cos (atan (* (fast-tan (* (PI) (fma 2 u1 1/2))) (/ u0 alphax)))) alphax)) (square (/ (fast-sin (atan (* (fast-tan (* (PI) (fma 2 u1 1/2))) (/ u0 alphax)))) u0))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* u1 u1)) (/ (* (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(fast-isqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ alphay u1) (fast-tan (* (PI) (fma alphax 2 1/2)))))) u1)) (square (/ (fast-sin (atan (* (/ alphay u1) (fast-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)))))
(fast-isqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ u1 alphax) (fast-tan (* (PI) (fma alphay 2 1/2)))))) alphax)) (square (/ (fast-sin (atan (* (/ u1 alphax) (fast-tan (* (PI) (fma alphay 2 1/2)))))) 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)))))
(fast-isqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (fast-tan (* (PI) (fma 2 u1 1/2))) (/ alphax alphay)))) alphay)) (square (/ (fast-sin (atan (* (fast-tan (* (PI) (fma 2 u1 1/2))) (/ alphax alphay)))) alphax))))))

explain583.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2062(2.896499395887986e-8 0.00818177592009306 0.00030026669264771044 0.0015472053783014417)6(0.0035136472433805466 0.023029370233416557 0.00021843647118657827 0.002047162037342787)(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)))))))
1994(4.0966574488265906e-7 0.0011400397634133697 0.00011963096767431125 0.03309889882802963)12(3.265815394115634e-5 0.003479034174233675 0.0025620239321142435 0.27304986119270325)(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
348.0ms512×0valid
Compiler

Compiled 1750 to 98 computations (94.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-mult: 91.0ms (41.4% of total)
ival-tan: 44.0ms (20% of total)
ival-div: 23.0ms (10.5% of total)
ival-sin: 17.0ms (7.7% of total)
ival-cos: 17.0ms (7.7% of total)
ival-add: 10.0ms (4.5% of total)
ival-atan: 7.0ms (3.2% of total)
ival-sqrt: 4.0ms (1.8% of total)
ival-sub: 3.0ms (1.4% of total)
ival-pi: 2.0ms (0.9% of total)
const: 2.0ms (0.9% 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 (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)) (/.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)))))))
Compiler

Compiled 82 to 30 computations (63.4% saved)

simplify175.0ms (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 (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)) (/.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))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.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)))))
✓cost-diff0
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.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))))))
✓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 (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)) (/.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)))))))
Rules
2004×*-lowering-*.f32
2004×*-lowering-*.f64
1990×fma-define
1844×sum5-define
1752×fnmadd-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030382
175349
2125349
3184349
4524349
51706349
65600349
08092349
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))))
1
(sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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))))))
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))
(/ (/ u0 (- 1 u0)) (+ (/ (* (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))))
(/ u0 (- 1 u0))
u0
(- 1 u0)
(+ (/ (* (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)))
(/ (* (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))))))))
(sin (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
(* 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)))))))
(* alphax alphax)
Outputs
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.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))))))) (/.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 (*.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))))))))
1
#s(literal 1 binary32)
(sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.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))))))) (/.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 (*.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)))))))
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))
(+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.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))))))) (/.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 (*.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))))))
(/ (/ u0 (- 1 u0)) (+ (/ (* (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))))
(/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.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))))))) (/.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 (*.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)))))
(/ u0 (- 1 u0))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ (/ (* (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)))
(+.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))))))) (/.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 (*.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)))
(/ (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 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 (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 (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 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))))))) (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)))))))
(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)))))))
(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
(* alphay alphay)
(*.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)))))))
(* alphax alphax)
(*.f32 alphax alphax)

localize191.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.3%
(*.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))))))))
✓accuracy60.9%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy57.5%
(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)))))))
Results
130.0ms256×0valid
Compiler

Compiled 599 to 31 computations (94.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 13.0ms (18.9% of total)
ival-div: 10.0ms (14.5% of total)
ival-tan: 10.0ms (14.5% of total)
ival-cos: 10.0ms (14.5% of total)
ival-sin: 9.0ms (13.1% of total)
ival-add: 8.0ms (11.6% of total)
ival-atan: 3.0ms (4.4% of total)
ival-sub: 2.0ms (2.9% of total)
ival-sqrt: 2.0ms (2.9% of total)
ival-pi: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series156.0ms (0.5%)

Counts
8 → 288
Calls
Call 1
Inputs
#<alt (/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))))>
#<alt (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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))))))>
#<alt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))>
#<alt (/ (/ u0 (- 1 u0)) (+ (/ (* (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))))>
#<alt (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))>
#<alt (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
14.0ms
alphay
@-inf
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))))
10.0ms
alphax
@-inf
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))))
10.0ms
u0
@-inf
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))
10.0ms
alphax
@inf
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))))
9.0ms
alphay
@inf
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))))

rewrite360.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
2918×/-lowering-/.f32
2918×/-lowering-/.f64
2778×*-lowering-*.f32
2778×*-lowering-*.f64
1982×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030224
1215204
22209204
08889204
Stop Event
1×iter limit
1×node limit
Counts
8 → 226
Calls
Call 1
Inputs
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))))
(sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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))))))
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))
(/ (/ u0 (- 1 u0)) (+ (/ (* (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)))))))
(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 (/.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) (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) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #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) (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) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax)))))) #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) (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) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #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) (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) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal 1/2 binary32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal 1/2 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal 1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal 1/2 binary32))) #s(literal -1/2 binary32))
(/.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) (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) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal 1/2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal 1/2 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal 1/2 binary32))))))
(*.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) (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) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.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) (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) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/4 binary32)))
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(/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))))))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))) (-.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 1/8 binary32) (*.f32 #s(literal 8 binary32) (*.f32 u1 (*.f32 u1 u1))))) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 2 binary32) u1) (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))))
(/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
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(/.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1))) (PI.f32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (neg.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))))))
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(*.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)) #s(literal 1 binary32)) (PI.f32))
(*.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)))

simplify448.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
5842×*-lowering-*.f32
5842×*-lowering-*.f64
3968×+-lowering-+.f64
3968×+-lowering-+.f32
2226×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073829738
1269124839
0804124839
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))))))))
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(+ (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
(+ 1 (/ (* (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 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))))
(* 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))))))
(* 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))))))
(- (* -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))))) 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)))))
(- (* -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))))) (pow u0 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))))) (/ 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))))))
(- (* -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))))) 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)))))
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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 (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)
(* 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))))))
(+.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)))))
(+ 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))))))))
(+.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 (/.f32 #s(literal 3/4 binary32) (pow.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))) #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) (+.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 -1/2 binary32) (+.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)))))))
(+ 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))))))))
(+.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (pow.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))) #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (+.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) (pow.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))) #s(literal 3 binary32))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 #s(literal 3/4 binary32) (pow.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))) #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) (+.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 (/.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 (/.f32 #s(literal 3/4 binary32) (pow.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))) #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) (+.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 -1/2 binary32) (+.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 (/ 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.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.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 (/ 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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(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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(/ (* (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 #s(literal 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))))
(* 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 #s(literal 2 binary32) (*.f32 (PI.f32) u1))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1)) (neg.f32 u1))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1)) (neg.f32 u1))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(*.f32 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1)) (neg.f32 u1))

eval122.0ms (0.4%)

Compiler

Compiled 78113 to 3812 computations (95.1% saved)

prune93.0ms (0.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New78110791
Fresh000
Picked101
Done000
Total78210792
Accuracy
100.0%
Counts
792 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
▶97.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
45.0%
(/.f32 #s(literal 1 binary32) (+.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)))))
98.2%
(/.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))))))
▶46.3%
(/.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))))))
▶96.9%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.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))))
38.1%
(+.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))))
98.6%
(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))))))
▶100.0%
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32)))
▶91.6%
#s(literal 1 binary32)
Compiler

Compiled 744 to 494 computations (33.6% saved)

simplify211.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay)))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))))
✓cost-diff0
(*.f32 u0 (*.f32 alphay alphay))
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay)))
✓cost-diff0
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.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)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.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))))
✓cost-diff0
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))
✓cost-diff0
(log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax)))))
✓cost-diff0
(*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
✓cost-diff3168
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32)))
Rules
4374×*-lowering-*.f32
4374×*-lowering-*.f64
1814×times-frac
1486×fma-define
1420×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0571106
11581017
24401017
314641008
449981008
082331008
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2)
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))))
(/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))
(/ u0 (- 1 u0))
u0
(- 1 u0)
1
(+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))
(/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2))
(- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
2
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(/ (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)
u1
(/ alphax alphay)
alphax
alphay
(* (* alphay alphay) 2)
(* alphay alphay)
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(* alphax alphax)
-1/2
1
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
1
(/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* -1/2 (* u0 (* alphay alphay)))
-1/2
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(* (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))
1/2
(* 2 u1)
2
u1
alphax
(- 1 u0)
(/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
1
(+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* 1/2 (* u0 (* alphay alphay)))
1/2
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(* (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)
(/ 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)
Outputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))) (/.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))))))) #s(literal -1/2 binary32))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2)
(*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))) (/.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))))))) #s(literal -1/2 binary32))
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))))
(log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))) (/.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)))))))
(/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))) (/.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))))))
(/ u0 (- 1 u0))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
1
#s(literal 1 binary32)
(+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))
(+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))) (/.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 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2))
(/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay)))
(- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(-.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))))))
(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))))
2
#s(literal 2 binary32)
(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)))
(/ (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)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphax
alphay
(* (* alphay alphay) 2)
(*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/.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 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/.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))))
(+ 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))
(* alphax alphax)
(*.f32 alphax alphax)
-1/2
#s(literal -1/2 binary32)
1
#s(literal 1 binary32)
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay (*.f32 alphay #s(literal -1/2 binary32)))) (*.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)
(/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphay (*.f32 alphay #s(literal -1/2 binary32)))) (*.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 (* u0 (* alphay alphay)))
(*.f32 u0 (*.f32 alphay (*.f32 alphay #s(literal -1/2 binary32))))
-1/2
#s(literal -1/2 binary32)
(* u0 (* alphay alphay))
(*.f32 u0 (*.f32 alphay alphay))
u0
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(* (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))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (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 (* u0 (* alphay alphay))) (* (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 (* u0 (* alphay alphay))) (* (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 (* u0 (* alphay alphay)))
(*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))
1/2
#s(literal 1/2 binary32)
(* u0 (* alphay alphay))
(*.f32 u0 (*.f32 alphay alphay))
u0
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(* (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)
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))))))
1
#s(literal 1 binary32)
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))))
(+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))))
(/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 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) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (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)))
(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 u0)
(-.f32 #s(literal 1 binary32) u0)

localize464.0ms (1.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.3%
(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))
✓accuracy60.9%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy57.5%
(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)))
✓accuracy99.2%
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.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)))
✓accuracy99.2%
(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))
✓accuracy98.9%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy60.9%
(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 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)))
✓accuracy99.2%
(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))
✓accuracy98.9%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy60.9%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.9%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.6%
(-.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))))))
✓accuracy98.5%
(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))
✓accuracy60.9%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
Results
293.0ms252×0valid
11.0ms4×1valid
Compiler

Compiled 1153 to 57 computations (95.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-mult: 26.0ms (17% of total)
ival-div: 24.0ms (15.7% of total)
ival-cos: 18.0ms (11.8% of total)
ival-pow: 13.0ms (8.5% of total)
ival-sin: 11.0ms (7.2% of total)
ival-tan: 10.0ms (6.5% of total)
ival-add: 10.0ms (6.5% of total)
ival-pi: 9.0ms (5.9% of total)
compiled-spec: 8.0ms (5.2% of total)
ival-atan: 7.0ms (4.6% of total)
ival-log: 5.0ms (3.3% of total)
ival-sub: 4.0ms (2.6% of total)
ival-exp: 3.0ms (2% of total)
ival-sqrt: 2.0ms (1.3% of total)
const: 1.0ms (0.7% of total)
backward-pass: 1.0ms (0.7% of total)

series569.0ms (1.9%)

Counts
23 → 900
Calls
Call 1
Inputs
#<alt (exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2))>
#<alt (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2)>
#<alt (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))))>
#<alt (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))>
#<alt (+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))>
#<alt (/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))>
#<alt (* -1/2 (* u0 (* alphay alphay)))>
#<alt (* u0 (* alphay alphay))>
#<alt (/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))>
#<alt (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))>
#<alt (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))>
#<alt (* 1/2 (* u0 (* alphay alphay)))>
#<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 (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)>
#<alt (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))>
#<alt (* (PI) (+ 1/2 (* 2 u1)))>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<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 1>
#<alt (+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))>
#<alt (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))))>
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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 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))>
#<alt (* 1/2 (PI))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (* 2 (* u1 (PI)))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* 2 (* u1 (PI)))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (pow (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 (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

225 calls:

TimeVariablePointExpression
90.0ms
u1
@-inf
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2)
54.0ms
u1
@inf
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2)
30.0ms
u1
@0
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2))
25.0ms
alphay
@0
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2))
22.0ms
alphay
@-inf
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2))

rewrite348.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
3074×*-lowering-*.f32
3074×*-lowering-*.f64
2136×/-lowering-/.f32
2136×/-lowering-/.f64
1712×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057567
1397517
24159497
08115497
Stop Event
1×iter limit
1×node limit
Counts
23 → 572
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))) -1/2)
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))))
(/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* -1/2 (* u0 (* alphay alphay)))
(* u0 (* alphay alphay))
(/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* 1/2 (* u0 (* alphay alphay)))
(/ 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)))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(* (PI) (+ 1/2 (* 2 u1)))
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(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 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.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 #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 alphay alphay)) (/.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 alphax alphax))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
(pow.f32 (exp.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 #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 alphay alphay)) (/.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 alphax alphax)))))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax))))) #s(literal 3 binary32)))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (*.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax))))) (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax))))) #s(literal 1 binary32))))))
(/.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (neg.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax))))) #s(literal 2 binary32))))) (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (neg.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/4 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 #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 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/4 binary32)))
(*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
(*.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 #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 alphay alphay)) (/.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 alphax alphax)))))))
(log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax))))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax))))) (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax))))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax))))) #s(literal 3 binary32))))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax))))) #s(literal 2 binary32))))))
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(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)))
(exp.f32 (*.f32 (log1p.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))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.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)) #s(literal 1 binary32)))
(pow.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))) #s(literal -1/2 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 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 -1 binary32))
(pow.f32 (/.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)) #s(literal -1 binary32))
(pow.f32 (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 -1/2 binary32)) #s(literal 2 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 (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) (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 (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 -1/2 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 -1/2 binary32)))
(neg.f32 (/.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)))))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.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)))))))
(exp.f32 (*.f32 (log1p.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))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.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))))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.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)))
(exp.f32 (*.f32 (*.f32 (log.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)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.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)))
(+.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)))))))
(pow.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))) #s(literal -1 binary32))
(pow.f32 (/.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)))) #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 (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 (log.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 (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)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (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))))) #s(literal -1 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 #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)))
(/.f32 #s(literal 1 binary32) (neg.f32 (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 #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 #s(literal -1 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 #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 (*.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)) (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) (+.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 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)))) #s(literal 1 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 #s(literal -1 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 (exp.f32 (log.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)))))) (exp.f32 (log.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 (/.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 -6 binary32)))) (+.f32 #s(literal 1 binary32) (-.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 -4 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 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 -4 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))))

simplify953.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
6774×*-lowering-*.f32
6774×*-lowering-*.f64
3150×+-lowering-+.f64
3150×+-lowering-+.f32
2258×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01950102019
1721694388
0812394388
Stop Event
1×iter limit
1×node limit
Counts
900 → 900
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))))
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4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (* 8 (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3))))))) (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 2))) (* 4 (/ (* (pow alphay 4) (* u0 (+ (* -16 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (* -1 (/ (+ (* -8 (/ (* (pow alphay 6) u0) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))) (* -4 (/ (* 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1
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(* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(- (+ (* -1 (/ (+ (* -2 (/ (* (pow alphay 2) (+ (* -8 (/ (* (pow alphay 6) u0) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))) (* -4 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (+ (* 4 (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (* 8 (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3))))))) (pow alphax 6))) (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -8 (/ (* (pow alphay 6) u0) (* (pow alphax 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3))))) (+ (* -4 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))))) (* 4 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))))
(* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (+ (* -4 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))) (* 2 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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(* (pow alphay 2) (+ (* 2 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -2 (/ (* (+ (* -8 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))) (* -4 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (+ (* 4 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))))) (* 8 (/ (* 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 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))))))))) (+ (* -8 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1 u0) 3) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))) (* -4 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))))) (* 4 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))))
(/ (* (pow alphay 2) u0) (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))
(* (pow alphay 2) (+ (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))))
(* (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) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))
(* (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) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 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) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))))))
(/ (* (pow alphay 2) u0) (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))
(* (pow alphay 2) (+ (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))))
(* (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) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))
(* (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) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 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) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))))))
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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(+ 1 (* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))
(+ 1 (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 3) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))
(+ 1 (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) u0)) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) u0)) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) u0)) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
1
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(* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
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(* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) u0)) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) u0)) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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(* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
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(* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
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(* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
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(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
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(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
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(* (pow alphay 2) u0)
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(* (pow alphay 2) u0)
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1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (* u0 (- (* -1 (* u0 (+ (* -1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (* u0 (- (* u0 (- (* -1 (* u0 (+ (* -1/2 (/ (* (pow alphay 2) (+ (* -1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (+ (* -1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (+ (* -1/4 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(/ 1 (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
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1
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1
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1
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1
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(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
1
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(sqrt (+ 1 (* -1 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
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1
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(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* 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))))))))
(* 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)))))))))
(* -1 (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(* -1 (* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* -1 (* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* -1 (* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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1
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1
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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 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)))
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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)))
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(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
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(* 2 (* u1 (PI)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(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
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 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 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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)))))))) (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))
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(* u0 (+ (* u0 (+ (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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)))))))) (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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)))))))) (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))
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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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(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))

eval302.0ms (1%)

Compiler

Compiled 159689 to 6627 computations (95.9% saved)

prune201.0ms (0.7%)

Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New1798221820
Fresh325
Picked415
Done000
Total1805251830
Accuracy
100.0%
Counts
1830 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 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 #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 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
▶100.0%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
45.5%
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax)))) #s(literal -1/2 binary32))
97.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))))
95.2%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (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)))))
▶96.9%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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)))))
45.1%
(/.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)))))
97.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
97.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
45.6%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax))) #s(literal 1 binary32))))
98.2%
(/.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))))))
▶46.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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))))))
87.8%
(/.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 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
▶96.9%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))))))
95.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (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))))
39.2%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.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))))
96.7%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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))))
▶38.3%
(+.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))))
96.3%
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.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)))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
13.5%
(*.f32 #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 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))
98.6%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0))))))
98.6%
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
97.2%
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓91.6%
#s(literal 1 binary32)
Compiler

Compiled 1795 to 1235 computations (31.2% saved)

simplify205.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (*.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 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
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay)))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.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)))))
✓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 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.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 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))))))
✓cost-diff0
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
✓cost-diff0
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax)))))
✓cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
Rules
4656×*-lowering-*.f32
4656×*-lowering-*.f64
1822×fma-define
1588×fma-lowering-fma.f32
1588×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0691132
11711052
24301045
313841042
451231042
083651042
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))) -1/2)
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))
1
(/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))
(/ u0 (- 1 u0))
u0
(- 1 u0)
(+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))
(/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2))
(- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
2
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(/ (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)
u1
(/ alphax alphay)
alphax
alphay
(* (* alphay alphay) 2)
(* alphay alphay)
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(* alphax alphax)
-1/2
(- 1 (/ (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))
1
(/ (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))))
(* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0)))
1/2
(/ (* u0 (* alphay alphay)) (- 1 u0))
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(- 1 u0)
(- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))
(/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))
(+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))
(pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)
(/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1)))))
(/ alphax alphay)
alphax
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
2
u1
-2
(+ 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 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
1
(+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(* 1/2 (* u0 (* alphay alphay)))
1/2
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))
(pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(/ (* alphay (tan (* 1/2 (PI)))) alphax)
(* alphay (tan (* 1/2 (PI))))
(tan (* 1/2 (PI)))
(* 1/2 (PI))
(PI)
alphax
2
(- 1 u0)
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
1
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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
Outputs
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))) -1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))) (/.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))))))) #s(literal -1/2 binary32))
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))) (/.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
#s(literal 1 binary32)
(/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))) (/.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))))))
(/ u0 (- 1 u0))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))
(+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))) (/.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 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2))
(/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay alphay)))
(- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(-.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))))))
(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))))
2
#s(literal 2 binary32)
(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)))
(/ (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)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphax
alphay
(* (* alphay alphay) 2)
(*.f32 #s(literal 2 binary32) (*.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/.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 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/.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))))
(+ 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))
(* alphax alphax)
(*.f32 alphax alphax)
-1/2
#s(literal -1/2 binary32)
(- 1 (/ (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) alphay))) (+.f32 (/.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)))) #s(literal -1 binary32))))
1
#s(literal 1 binary32)
(/ (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))))
(/.f32 (*.f32 alphay (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) alphay))) (+.f32 #s(literal 1 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))))))
(* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0)))
(*.f32 alphay (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) alphay)))
1/2
#s(literal 1/2 binary32)
(/ (* u0 (* alphay alphay)) (- 1 u0))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))
(* u0 (* alphay alphay))
(*.f32 u0 (*.f32 alphay alphay))
u0
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))
(+.f32 #s(literal 1 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)))))
(/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))
(/.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))))
(+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))
(+.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)))
(pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)
(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))
(/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ alphax alphay)
(/.f32 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))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
-2
#s(literal -2 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
#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 (*.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))
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 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) alphay))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))))
1
#s(literal 1 binary32)
(+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) alphay))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))
(/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 alphay (*.f32 #s(literal 1/2 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) alphay))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))
(* 1/2 (* u0 (* alphay alphay)))
(*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))
1/2
#s(literal 1/2 binary32)
(* u0 (* alphay alphay))
(*.f32 u0 (*.f32 alphay alphay))
u0
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))
(pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)
(pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(/ (* alphay (tan (* 1/2 (PI)))) alphax)
(*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))
(* alphay (tan (* 1/2 (PI))))
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(tan (* 1/2 (PI)))
(tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(* 1/2 (PI))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(PI)
(PI.f32)
alphax
2
#s(literal 2 binary32)
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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 (/ (* 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 alphax)) (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))))
(/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
(/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)))
(* 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))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1

localize3.7s (12.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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)))))
✓accuracy100.0%
(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)))
✓accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
✓accuracy100.0%
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
✓accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy100.0%
(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)))
✓accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 #s(literal 2 binary32) u1)
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)))
✓accuracy100.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy100.0%
(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)))))
✓accuracy100.0%
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
✓accuracy6.3%
(PI.f32)
Results
3.4s256×5exit
Compiler

Compiled 1186 to 70 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.5s
backward-pass: 380.0ms (24.6% of total)
ival-pow: 225.0ms (14.6% of total)
ival-mult: 192.0ms (12.4% of total)
ival-div: 188.0ms (12.2% of total)
ival-tan: 149.0ms (9.6% of total)
ival-cos: 129.0ms (8.3% of total)
ival-add: 89.0ms (5.8% of total)
ival-sin: 71.0ms (4.6% of total)
ival-atan: 54.0ms (3.5% of total)
ival-sub: 43.0ms (2.8% of total)
ival-sqrt: 12.0ms (0.8% of total)
ival-pi: 10.0ms (0.6% of total)
const: 5.0ms (0.3% of total)

series235.0ms (0.8%)

Counts
30 → 984
Calls
Call 1
Inputs
#<alt (pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))) -1/2)>
#<alt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))>
#<alt (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))>
#<alt (/ u0 (- 1 u0))>
#<alt (- 1 (/ (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))>
#<alt (/ (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))))>
#<alt (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0)))>
#<alt (/ (* u0 (* alphay alphay)) (- 1 u0))>
#<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 (* u0 (* alphax alphax))>
#<alt (/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))>
#<alt (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))>
#<alt (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))>
#<alt (* 1/2 (* u0 (* alphay alphay)))>
#<alt (/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))>
#<alt (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))>
#<alt (+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))>
#<alt (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))>
#<alt (PI)>
#<alt (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))>
#<alt (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (* 2 u1)>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (tan (* 1/2 (PI)))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))>
#<alt (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))))>
#<alt (+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))))>
#<alt (sqrt (/ 1 (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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)))))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (* (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 3))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (* (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 3))))) (* 1/2 (* (/ (+ (/ 1 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 2))) (* 3/4 (/ 1 (* (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 3))))) (pow u0 2)) (sqrt (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (* (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 3))))) (+ (* 1/2 (* (/ (+ (/ 1 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 2))) (* 3/4 (/ 1 (* (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 3))))) (pow u0 2)) (sqrt (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (* (/ (- (+ (/ 1 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 2))) (/ 1 (* (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 3)))) (+ (* -1 (/ (+ (/ 1 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) 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#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
Calls

246 calls:

TimeVariablePointExpression
23.0ms
u0
@inf
(/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
8.0ms
u1
@0
(- 1 (/ (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))
6.0ms
u0
@-inf
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
5.0ms
u1
@-inf
(- 1 (/ (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))
5.0ms
u0
@inf
(+ 1 (/ (* -1/2 (* u0 (* alphax alphax))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))

rewrite497.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
3022×*-lowering-*.f32
3022×*-lowering-*.f64
2480×/-lowering-/.f32
2480×/-lowering-/.f64
1684×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
069562
1487520
24836501
08027501
Stop Event
1×iter limit
1×node limit
Counts
30 → 503
Calls
Call 1
Inputs
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))) -1/2)
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)))))
(/ (/ u0 (- 1 u0)) (+ (/ (- 1 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) (* (* alphay alphay) 2)) (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))))
(/ u0 (- 1 u0))
(- 1 (/ (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))
(/ (* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))))
(* 1/2 (/ (* u0 (* alphay alphay)) (- 1 u0)))
(/ (* u0 (* alphay alphay)) (- 1 u0))
(+ 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 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
(+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(/ (* 1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))
(* 1/2 (* u0 (* alphay alphay)))
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(/ (* u0 (* alphax alphax)) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
(PI)
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* 2 u1)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(tan (* 1/2 (PI)))
Outputs
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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)))))))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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)))))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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))))))))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 (log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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))))))))) #s(literal -1/2 binary32))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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)))))))) #s(literal -1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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)))))))) #s(literal -1/4 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32))
(fma.f32 u0 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32))
(fma.f32 u0 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u0)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32))
(fma.f32 u0 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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)))))) #s(literal 1 binary32))
(fma.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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)))))) #s(literal 1 binary32))
(fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (/.f32 u0 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (-.f32 #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))) (*.f32 alphay alphay)) (/.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 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
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(neg.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (neg.f32 alphay)) alphax)))
(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 (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 (*.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 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 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 -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 (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) (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 (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 1/2 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 1/2 binary32)))
(neg.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 alphax))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (neg.f32 alphay)) alphax)))
(atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(exp.f32 (*.f32 (log.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))) #s(literal 1 binary32)))
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (hypot.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(/.f32 #s(literal 1 binary32) (*.f32 (hypot.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))) (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 (hypot.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))) alphax))
(/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) (hypot.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (neg.f32 alphay)) (*.f32 (hypot.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))) (neg.f32 alphax)))
(/.f32 (neg.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))) (neg.f32 (hypot.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))
(*.f32 alphay (/.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) alphax) (hypot.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))
(*.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))
(*.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)) (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))
(*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 1/2 binary32)))
(tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))

simplify1.2s (4.2%)

Algorithm
1×egg-herbie
Rules
6174×*-lowering-*.f32
6174×*-lowering-*.f64
3120×+-lowering-+.f64
3120×+-lowering-+.f32
2190×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0179877910
1673471568
0805271568
Stop Event
1×iter limit
1×node limit
Counts
984 → 984
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))))
(sqrt (/ 1 (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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)))))))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (* (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 3))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (* (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 3))))) (* 1/2 (* (/ (+ (/ 1 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 2))) (* 3/4 (/ 1 (* (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 3))))) (pow u0 2)) (sqrt (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (* (/ 1 (* u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 3))))) (+ (* 1/2 (* (/ (+ (/ 1 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))) 2))) (* 3/4 (/ 1 (* (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2) (pow (- 1 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 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4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))) (* 8 (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3))))))) (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 2))) (* 4 (/ (* (pow alphay 4) (* u0 (+ (* -16 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 4))))) (* -1 (/ (+ (* -8 (/ (* (pow alphay 6) u0) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3)))) (* -4 (/ (* 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1
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(/ (* (pow alphay 2) u0) (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))
(* (pow alphay 2) (+ (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))))
(* (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) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))
(* (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) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 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) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))))))))
u0
(* u0 (+ 1 u0))
(* u0 (+ 1 (* u0 (+ 1 u0))))
(* u0 (+ 1 (* u0 (+ 1 (* u0 (+ 1 u0))))))
-1
(* -1 (+ 1 (/ 1 u0)))
(- (* -1 (/ (+ 1 (/ 1 u0)) u0)) 1)
(- (* -1 (/ (+ 1 (/ 1 u0)) (pow u0 2))) (+ 1 (/ 1 u0)))
-1
(* -1 (+ 1 (/ 1 u0)))
(- (* -1 (/ (+ 1 (/ 1 u0)) u0)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u0) (/ 1 (pow u0 2)))) u0)) 1)
1
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(- 1 (* -1/2 (/ (pow alphay 2) (- 1 (/ 1 (+ 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 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(* -1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
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(* (pow alphay 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (pow alphay 6))) (/ 1 (pow alphay 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))))
(* -1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (/ 1 (pow alphay 2))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (pow alphay 6))) (/ 1 (pow alphay 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))))
(- 1 (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
(- (+ 1 (* -1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
(- (+ 1 (* (pow alphax 2) (- (* 1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))))) (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))) (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
(- (+ 1 (* (pow alphax 2) (- (* (pow alphax 2) (- (* 1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (+ (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))))) (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))) (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
(* -1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))))
(* (pow alphax 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (/ 1 (pow alphax 2))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))))
(* (pow alphax 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (pow alphax 6))) (/ 1 (pow alphax 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))))
(* -1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))))
(* (pow alphax 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (/ 1 (pow alphax 2))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))))
(* (pow alphax 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (pow alphax 6))) (/ 1 (pow alphax 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))))
(- 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))
(- (+ 1 (/ (* (pow alphay 4) (* u0 (* u1 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))) (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))
(- (+ 1 (* u1 (- (* 1/2 (* u1 (+ (* -4 (/ (* (pow alphay 6) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3))))))) (/ (* (pow alphay 2) (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (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 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))) (* -1 (/ (* (pow alphay 4) (* u0 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))))))) (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))
(- (+ 1 (* u1 (- (* u1 (- (* 1/2 (* u1 (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 6) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3))))))) (/ (* (pow alphay 2) (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (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 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))) (+ (* -2 (/ (* (pow alphay 4) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* -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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3))))))) (/ (* (pow alphay 2) (* u0 (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) (+ (* -2 (/ (* (pow alphay 4) (* (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))))))) (* (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)))) 3))))) (/ (* (pow alphay 2) (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI))))))) (* (pow alphax 2) (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 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))) (* -1/2 (+ (* -4 (/ (* (pow alphay 6) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow 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(sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))))))) (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))
(- 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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) (* (- 1 u0) (- 1 (/ 1 (+ 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) (* (- 1 u0) (- 1 (/ 1 (+ 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) (* (- 1 u0) (- 1 (/ 1 (+ 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) (* (- 1 u0) (- 1 (/ 1 (+ 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) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 3) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
(+ (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
(+ (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))) (* 1/2 (/ u0 (- 1 u0))))))
(+ (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* 1/2 (/ u0 (- 1 u0))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* 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) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* 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 alphay 2) u0) (- 1 u0)))
(* (pow alphay 2) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
(* (pow alphay 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(* (pow alphay 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (pow alphay 6))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* (pow alphay 2) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
(* (pow alphay 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(* (pow alphay 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (pow alphay 6))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(+ (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
(+ (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))))) (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
(+ (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))) (* (pow alphax 2) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (+ (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))))))))
(* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
(* (pow alphax 2) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))
(* (pow alphax 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))))
(* (pow alphax 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (pow alphax 6))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))))
(* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
(* (pow alphax 2) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))
(* (pow alphax 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))))
(* (pow alphax 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (pow alphax 6))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))))
(* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))
(+ (* -1 (/ (* (pow alphay 4) (* u0 (* u1 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))) (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))
(+ (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))) (* u1 (+ (* -1 (/ (* (pow alphay 4) (* u0 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))) (* -1/2 (* u1 (+ (* -4 (/ (* (pow alphay 6) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3))))))) (/ (* (pow alphay 2) (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (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 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))))))
(+ (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))) (* u1 (+ (* -1 (/ (* (pow alphay 4) (* u0 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))) (* u1 (+ (* -1/2 (* u1 (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 6) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3))))))) (/ (* (pow alphay 2) (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (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 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))) (+ (* -2 (/ (* (pow alphay 4) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* -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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3))))))) (/ (* (pow alphay 2) (* u0 (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) (+ (* -2 (/ (* (pow alphay 4) (* (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))))))) (* (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)))) 3))))) (/ (* (pow alphay 2) (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI))))))) (* (pow alphax 2) (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 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))) (* -1/2 (+ (* -4 (/ (* (pow alphay 6) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3))))))) (/ (* (pow alphay 2) (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (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 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))))))
(* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0))
(* u0 (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))
(* u0 (+ (* 1/2 (pow alphay 2)) (* u0 (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))))
(* u0 (+ (* 1/2 (pow alphay 2)) (* u0 (+ (* 1/2 (pow alphay 2)) (* u0 (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))))))
(* -1/2 (pow alphay 2))
(+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2)))
(+ (* -1/2 (/ (pow alphay 2) u0)) (+ (* -1/2 (/ (pow alphay 2) (pow u0 2))) (* -1/2 (pow alphay 2))))
(+ (* -1/2 (/ (pow alphay 2) u0)) (+ (* -1/2 (/ (pow alphay 2) (pow u0 2))) (+ (* -1/2 (/ (pow alphay 2) (pow u0 3))) (* -1/2 (pow alphay 2)))))
(* -1/2 (pow alphay 2))
(+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2)))
(+ (* -1 (/ (+ (* 1/2 (/ (pow alphay 2) u0)) (* 1/2 (pow alphay 2))) u0)) (* -1/2 (pow alphay 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2))) u0)) (* 1/2 (pow alphay 2))) u0)) (* -1/2 (pow alphay 2)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(* (pow alphay 2) u0)
(* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))
(* u0 (+ (* u0 (- (* (pow alphay 2) u0) (* -1 (pow alphay 2)))) (pow alphay 2)))
(* u0 (+ (* u0 (- (* u0 (- (* (pow alphay 2) u0) (* -1 (pow alphay 2)))) (* -1 (pow alphay 2)))) (pow alphay 2)))
(* -1 (pow alphay 2))
(+ (* -1 (/ (pow alphay 2) u0)) (* -1 (pow alphay 2)))
(- (+ (* -1 (/ (pow alphay 2) (pow u0 2))) (* -1 (pow alphay 2))) (/ (pow alphay 2) u0))
(- (+ (* -1 (/ (pow alphay 2) (pow u0 3))) (* -1 (pow alphay 2))) (+ (/ (pow alphay 2) u0) (/ (pow alphay 2) (pow u0 2))))
(* -1 (pow alphay 2))
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1
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(* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 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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(* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 u0)))
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(+ (* -1/2 (* (/ (* alphax (+ (* 1/4 (/ (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6)) (pow alphax 6))) (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (pow alphax 8)))) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 (pow u0 7))))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 3)) (sqrt (/ 1 (pow u0 3))))) (+ (* 1/2 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 5)) (sqrt (/ 1 (pow u0 5))))) (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 u0))))))
(* (/ (* (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow (sqrt -1) 2)) alphax) (sqrt (/ 1 u0)))
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(+ (* -1 (/ (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 5)) (sqrt u0))) (* 1/2 (* (/ (* alphax (+ (* -1/4 (/ (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6)) (* (pow alphax 6) (pow (sqrt -1) 2)))) (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (pow alphax 8)))) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 u0))))) (pow u0 3))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 3)) (sqrt (/ 1 (pow u0 3))))) (* (/ (* (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow (sqrt -1) 2)) alphax) (sqrt (/ 1 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 (* (pow alphax 2) (+ (* -1/2 (/ u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/4 (/ (pow u0 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ (pow u0 3) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6))))) (* -1/2 (+ (* -1 (/ (pow u0 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/4 (/ (pow u0 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))))))))
(* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 u0)))
(/ (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) alphax)
(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) alphax)
(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (+ (* -1 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow u0 3))))) u0)) (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (pow u0 4))) (* (pow alphax 6) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) alphax)
(* -1 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 u0))))
(* -1 (/ (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) alphax))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow u0 3))) (* 1/4 (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt u0))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 2)) (sqrt (/ 1 (pow u0 3))))) (* (sqrt (/ 1 u0)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) alphax))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)))))
1
(+ 1 (* 1/2 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (* u0 (+ (* -1/8 (/ (* (pow alphax 4) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (* u0 (+ (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* -1/8 (/ (pow alphax 4) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/16 (/ (* (pow alphax 6) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6))))))))
(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt u0))
(* u0 (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 (pow u0 3))))) (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 u0)))))
(* u0 (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 3)) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 (pow u0 3))))) (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 u0))))))
(* u0 (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 3)) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 5)) (sqrt (/ 1 (pow u0 7))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 (pow u0 3))))) (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 u0)))))))
(* -1 (* (/ (* alphax (pow (sqrt -1) 2)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt u0)))
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(* -1 (* u0 (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (* (pow alphax 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 (pow u0 3))))) (* (/ (* alphax (pow (sqrt -1) 2)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 u0)))))))
(* -1 (* u0 (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (* (pow alphax 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (* (pow alphax 5) (pow (sqrt -1) 4))) (sqrt (/ 1 (pow u0 7))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 (pow u0 3))))) (* (/ (* alphax (pow (sqrt -1) 2)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 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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(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt u0))
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(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
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(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(/ (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)))))
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(cos (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)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 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 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)))))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))))
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(* u0 (+ (* u0 (+ (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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)))))))) (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (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))))))))))
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u0
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(* u0 (+ 1 (* u0 (+ 1 (* u0 (+ 1 u0))))))
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#s(literal -1 binary32)
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-1
#s(literal -1 binary32)
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1
#s(literal 1 binary32)
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(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (*.f32 #s(literal -1/2 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 2 binary32)))) (*.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 #s(literal 1 binary32) u0))))
(- (+ 1 (* (pow alphay 2) (- (* 1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))) (* 1/2 (/ u0 (- 1 u0)))))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alphay alphay) (*.f32 #s(literal 1/2 binary32) (-.f32 (*.f32 (*.f32 alphay alphay) (*.f32 #s(literal 0 binary32) (/.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 alphax alphax) (*.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 u0 (-.f32 #s(literal 1 binary32) u0))))) (/.f32 (*.f32 #s(literal 1/2 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 2 binary32)))) (*.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 #s(literal 1 binary32) u0)))))
(- (+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* 1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* 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) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))) (* 1/2 (/ u0 (- 1 u0)))))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (*.f32 #s(literal 1/2 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 4 binary32)))) (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (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 (*.f32 u0 (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 alphax #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (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 2 binary32)) (*.f32 #s(literal 0 binary32) (/.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 alphax alphax) (*.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 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 #s(literal 0 binary32) (/.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 alphax alphax) (*.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 #s(literal -1/2 binary32) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 (*.f32 #s(literal -1/2 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 2 binary32)))) (*.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 #s(literal 1 binary32) u0))))
(* -1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.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 2 binary32))) (*.f32 (*.f32 alphay alphay) (*.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 #s(literal 1 binary32) u0))))))))
(* (pow alphay 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (/ 1 (pow alphay 2))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)))))) (pow.f32 alphay #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.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 2 binary32))) (*.f32 (*.f32 alphay alphay) (*.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 #s(literal 1 binary32) u0)))))))))
(* (pow alphay 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (pow alphay 6))) (/ 1 (pow alphay 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u0 (pow.f32 alphax #s(literal 6 binary32))) (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 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 u0 (pow.f32 alphax #s(literal 6 binary32))) (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 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32)))) (/.f32 (*.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 2 binary32))) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #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 2 binary32)))))) (pow.f32 alphay #s(literal 6 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.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 2 binary32))) (*.f32 (*.f32 alphay alphay) (*.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 #s(literal 1 binary32) u0)))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)))))) (pow.f32 alphay #s(literal 4 binary32)))))))
(* -1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.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 2 binary32))) (*.f32 (*.f32 alphay alphay) (*.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 #s(literal 1 binary32) u0))))))))
(* (pow alphay 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (/ 1 (pow alphay 2))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)))))) (pow.f32 alphay #s(literal 4 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.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 2 binary32))) (*.f32 (*.f32 alphay alphay) (*.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 #s(literal 1 binary32) u0)))))))))
(* (pow alphay 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (pow alphay 6))) (/ 1 (pow alphay 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))))
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(- 1 (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
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(- (+ 1 (* (pow alphax 2) (- (* 1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))))) (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))) (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
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(- (+ 1 (* (pow alphax 2) (- (* (pow alphax 2) (- (* 1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (+ (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))))) (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))) (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
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(* -1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
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(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))))
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(* (pow alphax 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (/ 1 (pow alphax 2))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))))
(*.f32 (*.f32 alphax alphax) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 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.f32 alphax #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (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 (*.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 u0 (*.f32 alphay alphay)) (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))))))))
(* (pow alphax 2) (- (+ (* 1/2 (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (pow alphax 6))) (/ 1 (pow alphax 2))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))))
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(- 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay alphay)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay alphay)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) (- 1 (/ 1 (+ 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 alphay alphay)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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))))))))) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) (*.f32 u0 u0)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 3) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
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(+ (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
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(+ (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))) (* 1/2 (/ u0 (- 1 u0))))))
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(+ (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* 1/2 (/ u0 (- 1 u0))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* 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) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (/ (* 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 alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphay 2) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* (pow alphay 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
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(* (pow alphay 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (pow alphay 6))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))))
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(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphay 2) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* (pow alphay 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))
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(* (pow alphay 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (pow alphay 4))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (pow alphay 6))) (+ (* 1/2 (/ u0 (- 1 u0))) (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))))
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(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
(+ (* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
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(+ (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))))) (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(+ (* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0))) (* (pow alphax 2) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0))))) (+ (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (- 1 u0)))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))))))))))
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(* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
(/.f32 (*.f32 #s(literal 1/2 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 2 binary32)))) (*.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 #s(literal 1 binary32) u0)))
(* (pow alphax 2) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))
(*.f32 (*.f32 alphax alphax) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (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 (*.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 u0 (*.f32 alphay alphay)) (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))))))
(* (pow alphax 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))))
(*.f32 (*.f32 alphax alphax) (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (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 (*.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 u0 (*.f32 alphay alphay)) (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 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.f32 alphax #s(literal 4 binary32)))))
(* (pow alphax 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (pow alphax 6))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))))
(*.f32 (*.f32 alphax alphax) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 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.f32 alphax #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (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 (*.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 u0 (*.f32 alphay alphay)) (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u0 (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 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (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 (*.f32 (*.f32 u0 (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 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (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 (*.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 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 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.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (pow.f32 alphax #s(literal 6 binary32))))))
(* 1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
(/.f32 (*.f32 #s(literal 1/2 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 2 binary32)))) (*.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 #s(literal 1 binary32) u0)))
(* (pow alphax 2) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))
(*.f32 (*.f32 alphax alphax) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (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 (*.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 u0 (*.f32 alphay alphay)) (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))))))
(* (pow alphax 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0)))))))
(*.f32 (*.f32 alphax alphax) (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (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 (*.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 u0 (*.f32 alphay alphay)) (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 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.f32 alphax #s(literal 4 binary32)))))
(* (pow alphax 2) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 4))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0)))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (- 1 u0))))) (pow alphax 6))) (+ (* 1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* 1/2 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (- 1 u0))))))))
(*.f32 (*.f32 alphax alphax) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 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.f32 alphax #s(literal 4 binary32))) (+.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (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 (*.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 u0 (*.f32 alphay alphay)) (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (neg.f32 (/.f32 (*.f32 (*.f32 u0 (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 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (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 (*.f32 (*.f32 u0 (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 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (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 (*.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 0 binary32) (/.f32 (*.f32 (*.f32 u0 (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 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.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (pow.f32 alphax #s(literal 6 binary32))))))
(* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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)))))))))
(+ (* -1 (/ (* (pow alphay 4) (* u0 (* u1 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (- 1 u0) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))) (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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) (* (- 1 u0) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (* (- 1 u0) (- 1 (/ 1 (+ 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 alphay 2) u0))
(*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0)
(* u0 (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))
(*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))))
(* u0 (+ (* 1/2 (pow alphay 2)) (* u0 (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))))
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(* u0 (+ (* 1/2 (pow alphay 2)) (* u0 (+ (* 1/2 (pow alphay 2)) (* u0 (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))))))
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(* -1/2 (pow alphay 2))
(*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay))
(+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2)))
(*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0)))
(+ (* -1/2 (/ (pow alphay 2) u0)) (+ (* -1/2 (/ (pow alphay 2) (pow u0 2))) (* -1/2 (pow alphay 2))))
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(* -1/2 (pow alphay 2))
(*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay))
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(+ (* -1 (/ (+ (* 1/2 (/ (pow alphay 2) u0)) (* 1/2 (pow alphay 2))) u0)) (* -1/2 (pow alphay 2)))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2))) u0)) (* 1/2 (pow alphay 2))) u0)) (* -1/2 (pow alphay 2)))
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(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
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(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
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(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
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(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
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(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
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(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
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(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
(* 1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))
(*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
(* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
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(* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
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(* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
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(* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0))))
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
(* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))))
(* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))))
(* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))))
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2) (- 1 u0)))))
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(* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
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(* u0 (+ (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
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(* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* u0 (+ (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))
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(* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* u0 (+ (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))))))
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(* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
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(+ (* -1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (+ (* -1/2 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))))
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(+ (* -1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (+ (* -1/2 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (+ (* -1/2 (/ (pow alphay 2) (* (pow u0 3) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))))
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(* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(* u0 (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 (pow u0 3))))) (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 u0)))))
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(* u0 (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 3)) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 (pow u0 3))))) (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 u0))))))
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(* u0 (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 3)) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 5)) (sqrt (/ 1 (pow u0 7))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 (pow u0 3))))) (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 u0)))))))
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(* -1 (* (/ (* alphax (pow (sqrt -1) 2)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt u0)))
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(* -1 (* u0 (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (* (pow alphax 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 (pow u0 3))))) (* (/ (* alphax (pow (sqrt -1) 2)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 u0)))))))
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(* -1 (* u0 (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (* (pow alphax 3) (pow (sqrt -1) 2))) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (* (pow alphax 5) (pow (sqrt -1) 4))) (sqrt (/ 1 (pow u0 7))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ 1 (pow u0 3))))) (* (/ (* alphax (pow (sqrt -1) 2)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ 1 u0))))))))
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1
#s(literal 1 binary32)
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(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt u0))
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(* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ 1 u0)))) (* (sqrt 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 (/ 1 (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ 1 u0)))) (* (sqrt 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 (/ 1 (pow u0 3))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 6)) (sqrt (/ 1 (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ 1 u0)))) (* (sqrt 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)))
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(* -1 (* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ 1 u0)))) (* (sqrt u0) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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1
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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)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))

eval321.0ms (1.1%)

Compiler

Compiled 130129 to 5393 computations (95.9% saved)

prune208.0ms (0.7%)

Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New1846121858
Fresh91019
Picked145
Done011
Total1856271883
Accuracy
100.0%
Counts
1883 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 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 #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 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
✓100.0%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
45.6%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)))) #s(literal -1/2 binary32))
98.6%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32))
45.5%
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax)))) #s(literal -1/2 binary32))
97.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))))
96.9%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.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) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) #s(literal 1 binary32)))
95.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
97.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
96.5%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))))
45.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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))) #s(literal 1 binary32))))
45.6%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax))) #s(literal 1 binary32))))
✓46.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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))))))
87.8%
(/.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 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
95.4%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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)))))))
▶96.7%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
▶96.8%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))) (-.f32 #s(literal 1 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)))))))
96.5%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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)))))))
✓96.9%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))))))
37.6%
(+.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 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))) #s(literal 1 binary32))
▶95.3%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
39.2%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.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))))
✓38.3%
(+.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))))
98.6%
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
▶97.2%
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓91.6%
#s(literal 1 binary32)
Compiler

Compiled 1755 to 1200 computations (31.6% saved)

simplify195.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))
✓cost-diff0
(/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
✓cost-diff0
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓cost-diff32
(neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))
✓cost-diff0
(*.f32 u0 (*.f32 alphay alphay))
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay)))
✓cost-diff0
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
✓cost-diff0
(/.f32 (*.f32 u0 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))) (-.f32 #s(literal 1 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))))))
✓cost-diff0
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))) (-.f32 #s(literal 1 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)))))))
✓cost-diff64
(+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))
✓cost-diff128
(+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.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)) u0)
✓cost-diff0
(/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.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 #s(literal 1 binary32) u0)))
✓cost-diff0
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
✓cost-diff0
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax))))))
✓cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
Rules
3306×*-lowering-*.f32
3306×*-lowering-*.f64
2130×sum4-define
1280×fnmadd-define
1220×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0631003
1173958
2468946
31532934
45310934
08099934
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))) -1/2)
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax))))))
1
(/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))
(/ u0 (- 1 u0))
u0
(- 1 u0)
(+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax))))
(/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay))
(- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))
(/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))
(+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))
(pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)
(/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1)))))
(/ alphax alphay)
alphax
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
-2
(* alphay alphay)
(/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))
(* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax))
(* alphax alphax)
-1/2
(- 1 (/ (* (* 1/2 (* alphay alphay)) u0) (- 1 u0)))
1
(/ (* (* 1/2 (* alphay alphay)) u0) (- 1 u0))
(* (* 1/2 (* alphay alphay)) u0)
(* 1/2 (* alphay alphay))
1/2
(* alphay alphay)
alphay
u0
(- 1 u0)
(- 1 (/ (* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))
1
(/ (* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))))
(* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay)))))))
u0
(+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))
(* 1/2 (* alphay alphay))
1/2
(* alphay alphay)
alphay
(* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay)))))
(* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))
(+ (* alphay alphay) (* u0 (* alphay alphay)))
(* u0 (* alphay alphay))
(- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))
(/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))
(+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))
(pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)
(/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1)))))
(/ alphax alphay)
alphax
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
2
u1
-2
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
1
(/ (* -1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
(* -1/2 (* u0 (* alphay alphay)))
-1/2
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(/ (* alphay (tan (* 1/2 (PI)))) alphax)
(* alphay (tan (* 1/2 (PI))))
(tan (* 1/2 (PI)))
(* 1/2 (PI))
1/2
(PI)
alphax
2
(exp (neg (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(neg (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(/ (* u0 (* alphay alphay)) (- 1 u0))
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(- 1 u0)
1
(- 1 (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))
1/2
(* 2 u1)
u1
alphax
Outputs
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))) -1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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)))))))) #s(literal -1/2 binary32))
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax))))))
(+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))))
1
#s(literal 1 binary32)
(/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))
(/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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)))))))
(/ u0 (- 1 u0))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax))))
(+.f32 (/.f32 (+.f32 #s(literal 1 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 alphay alphay)) (/.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)))))
(/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay))
(/.f32 (+.f32 #s(literal 1 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 alphay alphay))
(- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))
(+.f32 #s(literal 1 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)))))
(/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))
(/.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))))
(+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))
(+.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)))
(pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)
(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))
(/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ alphax alphay)
(/.f32 alphax alphay)
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
-2
#s(literal -2 binary32)
(* alphay alphay)
(*.f32 alphay alphay)
(/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))
(/.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))))
(* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax))
(*.f32 alphax (*.f32 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)))))
(* alphax alphax)
(*.f32 alphax alphax)
-1/2
#s(literal -1/2 binary32)
(- 1 (/ (* (* 1/2 (* alphay alphay)) u0) (- 1 u0)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay (*.f32 u0 (*.f32 alphay #s(literal 1/2 binary32)))) (+.f32 u0 #s(literal -1 binary32))))
1
#s(literal 1 binary32)
(/ (* (* 1/2 (* alphay alphay)) u0) (- 1 u0))
(/.f32 (*.f32 alphay (*.f32 u0 (*.f32 alphay #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
(* (* 1/2 (* alphay alphay)) u0)
(*.f32 alphay (*.f32 u0 (*.f32 alphay #s(literal 1/2 binary32))))
(* 1/2 (* alphay alphay))
(*.f32 alphay (*.f32 alphay #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(* alphay alphay)
(*.f32 alphay alphay)
alphay
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(- 1 (/ (* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 u0 #s(literal 1/2 binary32))))))) (+.f32 (/.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)))) #s(literal -1 binary32))))
1
#s(literal 1 binary32)
(/ (* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))))
(/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 u0 #s(literal 1/2 binary32))))))) (+.f32 #s(literal 1 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))))))
(* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay)))))))
(*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 u0 #s(literal 1/2 binary32)))))))
u0
(+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 u0 #s(literal 1/2 binary32))))))
(* 1/2 (* alphay alphay))
(*.f32 alphay (*.f32 alphay #s(literal 1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay)))))
(*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay (*.f32 alphay (+.f32 #s(literal 1 binary32) u0)))))
(* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))
(*.f32 alphay (*.f32 alphay (+.f32 #s(literal 1/2 binary32) (*.f32 u0 #s(literal 1/2 binary32)))))
(+ (* alphay alphay) (* u0 (* alphay alphay)))
(*.f32 alphay (*.f32 alphay (+.f32 #s(literal 1 binary32) u0)))
(* u0 (* alphay alphay))
(*.f32 u0 (*.f32 alphay alphay))
(- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))
(+.f32 #s(literal 1 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)))))
(/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))
(/.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))))
(+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))
(+.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)))
(pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)
(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))
(/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ alphax alphay)
(/.f32 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))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
-2
#s(literal -2 binary32)
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay (*.f32 alphay #s(literal -1/2 binary32)))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))
1
#s(literal 1 binary32)
(/ (* -1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
(/.f32 (*.f32 u0 (*.f32 alphay (*.f32 alphay #s(literal -1/2 binary32)))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))
(* -1/2 (* u0 (* alphay alphay)))
(*.f32 u0 (*.f32 alphay (*.f32 alphay #s(literal -1/2 binary32))))
-1/2
#s(literal -1/2 binary32)
(* u0 (* alphay alphay))
(*.f32 u0 (*.f32 alphay alphay))
u0
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)
(pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(/ (* alphay (tan (* 1/2 (PI)))) alphax)
(*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))
(* alphay (tan (* 1/2 (PI))))
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(tan (* 1/2 (PI)))
(tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(* 1/2 (PI))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
1/2
#s(literal 1/2 binary32)
(PI)
(PI.f32)
alphax
2
#s(literal 2 binary32)
(exp (neg (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(exp.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.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 alphay alphax))))) #s(literal -1 binary32))))
(neg (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (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 (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 alphay alphax))))) #s(literal -1 binary32)))
(/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphay alphax))))))))
(/ (* u0 (* alphay alphay)) (- 1 u0))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))
(* u0 (* alphay alphay))
(*.f32 u0 (*.f32 alphay alphay))
u0
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
1
#s(literal 1 binary32)
(- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(-.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 alphay alphax))))))
(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 alphay alphax)))))
(* 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 alphay alphax))))
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 alphay alphax)))
(/ (* 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 alphay alphax))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(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)
u1
alphax

localize2.3s (7.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓accuracy100.0%
(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))))
✓accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
✓accuracy100.0%
(sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))
✓accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))
✓accuracy100.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(-.f32 #s(literal 1 binary32) u0)
✓accuracy100.0%
(*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0)
✓accuracy100.0%
(*.f32 alphay alphay)
✓accuracy100.0%
(*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))
✓accuracy100.0%
(*.f32 alphax alphax)
✓accuracy100.0%
(*.f32 #s(literal 2 binary32) u1)
✓accuracy100.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy6.3%
(PI.f32)
Results
2.1s256×5exit
Compiler

Compiled 1085 to 64 computations (94.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
backward-pass: 316.0ms (27.9% of total)
ival-mult: 158.0ms (13.9% of total)
ival-div: 132.0ms (11.6% of total)
ival-pow: 125.0ms (11% of total)
ival-tan: 117.0ms (10.3% of total)
ival-add: 58.0ms (5.1% of total)
ival-sin: 58.0ms (5.1% of total)
ival-cos: 48.0ms (4.2% of total)
ival-sub: 39.0ms (3.4% of total)
ival-exp: 33.0ms (2.9% of total)
ival-atan: 29.0ms (2.6% of total)
ival-pi: 8.0ms (0.7% of total)
ival-neg: 8.0ms (0.7% of total)
const: 4.0ms (0.4% of total)

series628.0ms (2.1%)

Counts
32 → 876
Calls
Call 1
Inputs
#<alt (pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))) -1/2)>
#<alt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax))))))>
#<alt (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))>
#<alt (/ u0 (- 1 u0))>
#<alt (- 1 (/ (* (* 1/2 (* alphay alphay)) u0) (- 1 u0)))>
#<alt (/ (* (* 1/2 (* alphay alphay)) u0) (- 1 u0))>
#<alt (* (* 1/2 (* alphay alphay)) u0)>
#<alt (* 1/2 (* alphay alphay))>
#<alt (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))>
#<alt (+ (* alphay alphay) (* u0 (* alphay alphay)))>
#<alt (- 1 (/ (* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))>
#<alt (/ (* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))))>
#<alt (+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))>
#<alt (/ (* -1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))>
#<alt (* -1/2 (* u0 (* alphay alphay)))>
#<alt (* u0 (* alphay alphay))>
#<alt (neg (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))>
#<alt (exp (neg (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))>
#<alt (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (/ (* u0 (* alphay alphay)) (- 1 u0))>
#<alt (PI)>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (* 2 u1)>
#<alt (* alphax alphax)>
#<alt (* alphay alphay)>
#<alt (- 1 u0)>
#<alt (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (tan (* 1/2 (PI)))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))>
#<alt (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))>
#<alt (+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (+ (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))>
#<alt (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))) (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 2) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))) (+ (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 2) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (* (/ (- (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 2) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ 1 (* (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3) (pow (- (+ (/ 1 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#<alt (+ (* 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)))))>
#<alt (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt (pow alphay 2)>
#<alt 1>
#<alt (+ 1 (* -1 u0))>
#<alt (+ 1 (* -1 u0))>
#<alt (+ 1 (* -1 u0))>
#<alt (* -1 u0)>
#<alt (* u0 (- (/ 1 u0) 1))>
#<alt (* u0 (- (/ 1 u0) 1))>
#<alt (* u0 (- (/ 1 u0) 1))>
#<alt (* -1 u0)>
#<alt (* -1 (* u0 (- 1 (/ 1 u0))))>
#<alt (* -1 (* u0 (- 1 (/ 1 u0))))>
#<alt (* -1 (* u0 (- 1 (/ 1 u0))))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (* (pow alphay 2) (+ 1 u0)))>
#<alt (* 1/2 (pow alphay 2))>
#<alt (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2)))>
#<alt (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2)))>
#<alt (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2)))>
#<alt (* 1/2 (* (pow alphay 2) u0))>
#<alt (* u0 (+ (* 1/2 (/ (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))>
#<alt (* u0 (+ (* 1/2 (/ (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))>
#<alt (* u0 (+ (* 1/2 (/ (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))>
#<alt (* 1/2 (* (pow alphay 2) u0))>
#<alt (* -1 (* u0 (+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2)))))>
#<alt (* -1 (* u0 (+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2)))))>
#<alt (* -1 (* u0 (+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2)))))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
Calls

219 calls:

TimeVariablePointExpression
172.0ms
alphay
@inf
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))) -1/2)
71.0ms
u1
@0
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))) -1/2)
54.0ms
u1
@0
(/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))
38.0ms
alphax
@inf
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))) -1/2)
15.0ms
u1
@0
(- 1 (/ (* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))

rewrite441.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
2804×*-lowering-*.f32
2804×*-lowering-*.f64
2310×fma-lowering-fma.f32
2310×fma-lowering-fma.f64
2216×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063505
1450480
24476478
08020478
Stop Event
1×iter limit
1×node limit
Counts
32 → 575
Calls
Call 1
Inputs
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))) -1/2)
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax))))))
(/ (/ u0 (- 1 u0)) (+ (/ (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))) (* alphay alphay)) (/ 1 (* (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)) (* alphax alphax)))))
(/ u0 (- 1 u0))
(- 1 (/ (* (* 1/2 (* alphay alphay)) u0) (- 1 u0)))
(/ (* (* 1/2 (* alphay alphay)) u0) (- 1 u0))
(* (* 1/2 (* alphay alphay)) u0)
(* 1/2 (* alphay alphay))
(+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))
(+ (* alphay alphay) (* u0 (* alphay alphay)))
(- 1 (/ (* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2))))))
(/ (* u0 (+ (* 1/2 (* alphay alphay)) (* u0 (* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))))) (- 1 (/ 1 (+ 1 (pow (/ (/ alphax alphay) (tan (* (PI) (+ 1/2 (* 2 u1))))) -2)))))
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
(/ (* -1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))
(* -1/2 (* u0 (* alphay alphay)))
(* u0 (* alphay alphay))
(neg (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(exp (neg (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(/ (* u0 (* alphay alphay)) (- 1 u0))
(PI)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* 2 u1)
(* alphax alphax)
(* alphay alphay)
(- 1 u0)
(* 1/2 (+ (* alphay alphay) (* u0 (* alphay alphay))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(tan (* 1/2 (PI)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
Outputs
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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)))))))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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)))))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 (log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))))) #s(literal -1/2 binary32))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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)))))))) #s(literal -1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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)))))))) #s(literal -1/4 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 #s(literal 1 binary32) (pow.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32))
(fma.f32 u0 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32))
(fma.f32 u0 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u0)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 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 alphay alphay)) (/.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))))))) #s(literal 1 binary32))
(fma.f32 u0 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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)))))) #s(literal 1 binary32))
(fma.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 #s(literal 1 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 alphay alphay)) (/.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)))))) #s(literal 1 binary32))
(fma.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (/.f32 u0 (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 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 alphay alphay)) (/.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))))))) #s(literal 1 binary32))
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(fma.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))
(fma.f32 (*.f32 (*.f32 u0 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 binary32) u0)) (*.f32 alphay alphay) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))
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(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (*.f32 u0 u0)))) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))))))
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(+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))
(+.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 alphay alphay))
(pow.f32 (/.f32 (+.f32 (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay))) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 alphay alphay)))) (+.f32 (*.f32 (*.f32 alphay alphay) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 u0 (*.f32 alphay alphay))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 alphay (-.f32 alphay (*.f32 u0 alphay))) (*.f32 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1 binary32) u0)) (*.f32 alphay (-.f32 alphay (*.f32 u0 alphay))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))
(fma.f32 u0 (*.f32 alphay alphay) (*.f32 alphay alphay))
(fma.f32 alphay alphay (*.f32 u0 (*.f32 alphay alphay)))
(fma.f32 alphay (*.f32 u0 alphay) (*.f32 alphay alphay))
(fma.f32 alphay (*.f32 alphay #s(literal 1 binary32)) (*.f32 u0 (*.f32 alphay alphay)))
(fma.f32 (*.f32 alphay alphay) #s(literal 1 binary32) (*.f32 u0 (*.f32 alphay alphay)))
(fma.f32 (*.f32 alphay alphay) u0 (*.f32 alphay alphay))
(fma.f32 (*.f32 u0 alphay) alphay (*.f32 alphay alphay))
(fma.f32 (pow.f32 alphay #s(literal 1 binary32)) (pow.f32 alphay #s(literal 1 binary32)) (*.f32 u0 (*.f32 alphay alphay)))
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(fma.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)))) (neg.f32 (-.f32 #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)))))
(fma.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 (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))))))
(fma.f32 (+.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)))) (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 (/.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)))) (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 (*.f32 (neg.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 #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)))))
(-.f32 (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)) (-.f32 #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))))
(/.f32 (-.f32 (pow.f32 (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)) #s(literal 3 binary32)) (pow.f32 (-.f32 #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))) #s(literal 3 binary32))) (+.f32 (*.f32 (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) (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 (*.f32 (-.f32 #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))) (-.f32 #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)))) (*.f32 (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)) (-.f32 #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)))))))
(/.f32 (-.f32 (*.f32 (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) (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 (-.f32 #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))) (-.f32 #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))))) #s(literal 1 binary32))
(*.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))))))
(*.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 binary32))
(*.f32 (+.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)))) (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 (/.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)))) (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))))))

simplify1.3s (4.3%)

Algorithm
1×egg-herbie
Rules
5428×*-lowering-*.f32
5428×*-lowering-*.f64
2966×+-lowering-+.f64
2966×+-lowering-+.f32
2236×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0168994202
1633383753
0813283753
Stop Event
1×iter limit
1×node limit
Counts
876 → 876
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (+ (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) 2))) (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))) (* 1/2 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
(sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))) (* 1/2 (* (/ 1 (* u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) 3))))))
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(* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (/ (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 6) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2))) (* 1/4 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* 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(+ (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))))) (* u1 (+ (* 1/2 (* (/ (* u0 (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) 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2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2)))) (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))))) 2))) (* 1/4 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 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(pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 2))))) (/ (* u0 (* (+ (* -1 (/ (* (pow u0 2) (pow (- (* 2 (/ (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* 2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) 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(pow alphax 4) (* (cos (* 1/2 (PI))) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))))) 2)) (* (- 1 u0) (pow (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) 3)))) (/ (* u0 (- (+ (* -4 (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* 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1
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(* 1/2 (pow alphay 2))
(* 1/2 (pow alphay 2))
(* 1/2 (pow alphay 2))
(* 1/2 (pow alphay 2))
(* 1/2 (pow alphay 2))
(* 1/2 (pow alphay 2))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* (pow alphay 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))
(* 1/2 (pow alphay 2))
(+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2)))
(+ (* 1/2 (pow alphay 2)) (* u0 (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2)))))
(+ (* 1/2 (pow alphay 2)) (* u0 (+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2)))))
(* 1/2 (* (pow alphay 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/2 (/ (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))
(* (pow u0 2) (+ (* 1/2 (/ (pow alphay 2) u0)) (+ (* 1/2 (/ (pow alphay 2) (pow u0 2))) (* 1/2 (pow alphay 2)))))
(* (pow u0 2) (+ (* 1/2 (/ (pow alphay 2) u0)) (+ (* 1/2 (/ (pow alphay 2) (pow u0 2))) (* 1/2 (pow alphay 2)))))
(* 1/2 (* (pow alphay 2) (pow u0 2)))
(* (pow u0 2) (+ (* 1/2 (/ (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2))) u0)) (* 1/2 (pow alphay 2))))
(* (pow u0 2) (+ (* -1 (/ (+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2))) u0)) (* 1/2 (pow alphay 2))))
(* (pow alphay 2) (+ 1 u0))
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(+ (* (pow alphay 2) u0) (pow alphay 2))
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(* (pow alphay 2) u0)
(* u0 (+ (/ (pow alphay 2) u0) (pow alphay 2)))
(* u0 (+ (/ (pow alphay 2) u0) (pow alphay 2)))
(* u0 (+ (/ (pow alphay 2) u0) (pow alphay 2)))
(* (pow alphay 2) u0)
(* -1 (* u0 (+ (* -1 (/ (pow alphay 2) u0)) (* -1 (pow alphay 2)))))
(* -1 (* u0 (+ (* -1 (/ (pow alphay 2) u0)) (* -1 (pow alphay 2)))))
(* -1 (* u0 (+ (* -1 (/ (pow alphay 2) u0)) (* -1 (pow alphay 2)))))
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))))
(+ 1 (* u0 (- (* -1/2 (/ (* (pow alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (pow u0 3)) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (pow u0 3)) (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (pow u0 3)) (- 1 (/ 1 (+ 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 u0 3) (- (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 u0 3) (- (* -1 (/ (- (* -1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 u0 3) (- (* -1 (/ (- (+ (* -1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 u0 2))) (* 1/2 (/ (pow alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(- (+ 1 (* -1 (* (pow alphay 2) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(- (+ 1 (* (pow alphay 2) (+ (* -1 (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphay 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(- (+ 1 (* (pow alphay 2) (+ (* -1 (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphay 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* (pow alphay 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* -1 (* (pow alphay 2) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ 1 (pow alphay 2))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (+ (/ 1 (pow alphay 2)) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))))))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(* -1 (* (pow alphay 2) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ 1 (pow alphay 2))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (+ (/ 1 (pow alphay 2)) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))))))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(- 1 (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))
(- (+ 1 (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))
(- (+ 1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))))) (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))
(- (+ 1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (+ (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))))))) (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))
(* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (/ 1 (pow alphax 2))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (/ 1 (pow alphax 2)) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ 1 (pow alphax 2)) (+ (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))))))))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (/ 1 (pow alphax 2))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (/ 1 (pow alphax 2)) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ 1 (pow alphax 2)) (+ (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))))))))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(- 1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(- (+ 1 (* 2 (/ (* (pow alphay 2) (* u0 (* u1 (* (sin (* 1/2 (PI))) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(- (+ 1 (* u1 (+ (* 2 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))) (* u1 (+ (* -4 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3)))))) (/ (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(- (+ 1 (* u1 (+ (* 2 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))) (* u1 (+ (* -4 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3)))))) (+ (* u1 (+ (* -2 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* -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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3)))))) (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3)))))) (/ (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))))) (/ (* u0 (* (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))) (+ (* -2 (/ (* (pow alphay 4) (* (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))))))) (* (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)))) 3))))) (/ (* (pow alphay 2) (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI))))))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))) (/ (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
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(- 1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(- 1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(- 1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(- 1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))
(- 1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))
(- 1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))))
(- 1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (pow u0 3)) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (pow u0 3)) (- 1 (/ 1 (+ 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 u0 3) (+ (* -1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 u0 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 u0 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))
(+ (* (pow alphay 2) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (pow alphay 2) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))
(* (pow alphay 2) (+ (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (pow alphay 4))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (pow alphay 6))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))))
(* (pow alphay 2) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))
(* (pow alphay 2) (+ (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (pow alphay 4))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (pow alphay 6))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))))
(* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))
(+ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))
(+ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(+ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (+ (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (pow alphax 2) (+ (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow alphax 4))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2)))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (pow alphax 6))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(* (pow alphax 2) (+ (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow alphax 4))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2)))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (pow alphax 6))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))
(+ (* -2 (/ (* (pow alphay 2) (* u0 (* u1 (* (sin (* 1/2 (PI))) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(+ (* u1 (- (* -1 (* u1 (+ (* -4 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3)))))) (/ (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))) (* 2 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(+ (* u1 (- (* u1 (- (* -1 (* u1 (+ (* -2 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* -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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3)))))) (+ (* -2 (/ (* (pow alphay 2) (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3)))))) (/ (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow 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(/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3)))))) (/ (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (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 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(* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
(/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 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 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
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1
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1
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* (pow alphay 2) u0)
(* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))
(* u0 (+ (* u0 (- (* (pow alphay 2) u0) (* -1 (pow alphay 2)))) (pow alphay 2)))
(* u0 (+ (* u0 (- (* u0 (- (* (pow alphay 2) u0) (* -1 (pow alphay 2)))) (* -1 (pow alphay 2)))) (pow alphay 2)))
(* -1 (pow alphay 2))
(+ (* -1 (/ (pow alphay 2) u0)) (* -1 (pow alphay 2)))
(- (+ (* -1 (/ (pow alphay 2) (pow u0 2))) (* -1 (pow alphay 2))) (/ (pow alphay 2) u0))
(- (+ (* -1 (/ (pow alphay 2) (pow u0 3))) (* -1 (pow alphay 2))) (+ (/ (pow alphay 2) u0) (/ (pow alphay 2) (pow u0 2))))
(* -1 (pow alphay 2))
(+ (* -1 (/ (pow alphay 2) u0)) (* -1 (pow alphay 2)))
(+ (* -1 (/ (+ (/ (pow alphay 2) u0) (pow alphay 2)) u0)) (* -1 (pow alphay 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alphay 2) u0)) (* -1 (pow alphay 2))) u0)) (pow alphay 2)) u0)) (* -1 (pow alphay 2)))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 1 u0))
(/ (* (pow alphay 2) u0) (- 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)))))
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
(pow alphay 2)
1
(+ 1 (* -1 u0))
(+ 1 (* -1 u0))
(+ 1 (* -1 u0))
(* -1 u0)
(* u0 (- (/ 1 u0) 1))
(* u0 (- (/ 1 u0) 1))
(* u0 (- (/ 1 u0) 1))
(* -1 u0)
(* -1 (* u0 (- 1 (/ 1 u0))))
(* -1 (* u0 (- 1 (/ 1 u0))))
(* -1 (* u0 (- 1 (/ 1 u0))))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (* (pow alphay 2) (+ 1 u0)))
(* 1/2 (pow alphay 2))
(+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2)))
(+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2)))
(+ (* 1/2 (* (pow alphay 2) u0)) (* 1/2 (pow alphay 2)))
(* 1/2 (* (pow alphay 2) u0))
(* u0 (+ (* 1/2 (/ (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))
(* u0 (+ (* 1/2 (/ (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))
(* u0 (+ (* 1/2 (/ (pow alphay 2) u0)) (* 1/2 (pow alphay 2))))
(* 1/2 (* (pow alphay 2) u0))
(* -1 (* u0 (+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2)))))
(* -1 (* u0 (+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2)))))
(* -1 (* u0 (+ (* -1/2 (/ (pow alphay 2) u0)) (* -1/2 (pow alphay 2)))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))
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(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ 1 (pow alphay 2))) (/ 1 (* (pow alphay 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))))))
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(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (/ (* u0 (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (* (pow alphay 2) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))
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(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* u0 (* (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- (/ (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* -1 (/ (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (* (pow (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2)) (* (pow (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))) (/ (* u0 (- (/ (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* -1 (/ (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* (pow (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))) (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ (* u0 (- (* -1 (/ (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (/ (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* (pow (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (pow alphax 6))) (/ u0 (* (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (+ (* -1 (/ (* u0 (pow (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2)) (* (pow alphax 4) (* (pow (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0))))) (+ (/ (* u0 (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (* (pow (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))) (/ (* u0 (- (/ (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* -1 (/ (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* (pow alphax 4) (* (pow (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))))
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(/ (* (pow alphax 2) u0) (* (+ 1 (/ (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) (+ (* -1 (/ (* u0 (- (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (* (pow (+ 1 (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (/ u0 (* (+ 1 (/ (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) u0) (* (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))
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(* (pow alphay 2) (+ (* -1 (/ (* u0 (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (* (pow alphay 2) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (/ u0 (* (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* u0 (pow (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) 2)) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 3) (- 1 u0)))) (/ (* u0 (- (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0)))) (pow alphay 4))) (/ u0 (* (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))) (/ (* u0 (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (* (pow alphay 2) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))))
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(/ (* (pow alphay 2) u0) (* (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))
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(* (pow alphay 2) (+ (* -1 (/ (* u0 (- (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (* (pow alphay 2) (* (pow (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) 2) (- 1 u0))))) (/ u0 (* (+ 1 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (- 1 u0)))))
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u0
(* u0 (+ 1 u0))
(*.f32 u0 (+.f32 #s(literal 1 binary32) u0))
(* u0 (+ 1 (* u0 (+ 1 u0))))
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(* u0 (+ 1 (* u0 (+ 1 (* u0 (+ 1 u0))))))
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-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u0)))
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(- (* -1 (/ (+ 1 (/ 1 u0)) u0)) 1)
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(- (* -1 (/ (+ 1 (/ 1 u0)) (pow u0 2))) (+ 1 (/ 1 u0)))
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-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u0)))
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(- (* -1 (/ (+ 1 (/ 1 u0)) u0)) 1)
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(- (* -1 (/ (+ 1 (+ (/ 1 u0) (/ 1 (pow u0 2)))) u0)) 1)
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1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (- 1 u0))))
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(* -1/2 (/ (* (pow alphay 2) u0) (- 1 u0)))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (* 1/2 (/ u0 (- 1 u0)))))
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(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (* 1/2 (/ u0 (- 1 u0)))))
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(* -1/2 (/ (* (pow alphay 2) (pow u0 3)) (- 1 (/ 1 (+ 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 u0 3) (- (* -1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 u0 3) (- (* -1/2 (/ (pow alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 u0 3) (- (/ 1 (pow u0 3)) (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (pow u0 3)) (- 1 (/ 1 (+ 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 (* (pow u0 3) (- (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (* (pow u0 3) (- (* -1 (/ (- (* -1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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(- (+ 1 (* -1 (* (pow alphay 2) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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(- (+ 1 (* (pow alphay 2) (+ (* -1 (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphay 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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(- (+ 1 (* (pow alphay 2) (+ (* -1 (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphay 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* (pow alphay 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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(* -1 (* (pow alphay 2) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ 1 (pow alphay 2))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (*.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 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (*.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 u0 (*.f32 alphax alphax)) (*.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 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))))
(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (+ (/ 1 (pow alphay 2)) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))))))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (-.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (+.f32 (/.f32 (*.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 2 binary32))) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (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 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 alphay #s(literal 6 binary32)))) (+.f32 (/.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (*.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 (pow.f32 alphax #s(literal 6 binary32)) u0) (*.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 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (*.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 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (*.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 u0 (*.f32 alphax alphax)) (*.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 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))))
(* -1 (* (pow alphay 2) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(neg.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ 1 (pow alphay 2))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.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 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))))
(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ 1 (pow alphay 2)) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (*.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 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (*.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 u0 (*.f32 alphax alphax)) (*.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 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))))
(* (pow alphay 2) (- (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (+ (/ 1 (pow alphay 2)) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))))))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (-.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (+.f32 (/.f32 (*.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 2 binary32))) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (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 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 alphay #s(literal 6 binary32)))) (+.f32 (/.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (*.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 (pow.f32 alphax #s(literal 6 binary32)) u0) (*.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 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (*.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 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (*.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 u0 (*.f32 alphax alphax)) (*.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 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))))
(- 1 (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))))
(- (+ 1 (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))
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(- (+ 1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))))) (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))
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(- (+ 1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (+ (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))))))) (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))
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(* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (/ 1 (pow alphax 2))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
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(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (/ 1 (pow alphax 2)) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
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(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ 1 (pow alphax 2)) (+ (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))))))))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
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(* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (/ 1 (pow alphax 2))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
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(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (/ 1 (pow alphax 2)) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
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(* (pow alphax 2) (- (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (+ (/ 1 (pow alphax 2)) (+ (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))))))))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
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(- 1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 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) (- 1 (/ 1 (+ 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 (+ (* 1/2 (/ (* (pow alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) u0) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) (pow u0 3)) (- 1 (/ 1 (+ 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 (*.f32 alphay alphay) (*.f32 u0 (*.f32 u0 u0)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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))))))))
(* (pow u0 3) (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 u0 u0)) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))))))
(* (pow u0 3) (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 u0 u0)) (+.f32 (/.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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))))))))) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) (*.f32 u0 u0)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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))))))))))))
(* (pow u0 3) (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (* (pow u0 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 u0 u0)) (+.f32 (/.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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))))))))) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) (*.f32 u0 u0)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 alphay 2) (pow u0 3)) (- 1 (/ 1 (+ 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 (*.f32 alphay alphay) (*.f32 u0 (*.f32 u0 u0)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 (* (pow u0 3) (+ (* -1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 u0 (*.f32 u0 u0))) (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (* (pow u0 3) (+ (* -1 (/ (+ (* 1/2 (/ (pow alphay 2) (* u0 (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 alphay 2) (- 1 (/ 1 (+ 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 (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (pow alphay 4))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
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(* (pow alphay 2) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))
(*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))
(* (pow alphay 2) (+ (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(*.f32 (*.f32 alphay alphay) (+.f32 (*.f32 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.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 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (pow alphay 4))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (-.f32 (*.f32 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))) (/.f32 (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)))) (pow.f32 alphay #s(literal 4 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.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 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphax 6) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (pow alphay 6))) (* u0 (+ 1/2 (* 1/2 (* u0 (+ 1 u0)))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphax 4) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ 1/2 (* 1/2 (* u0 (+ 1 u0))))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (-.f32 (*.f32 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))) (/.f32 (-.f32 (+.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (*.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 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32))) (/.f32 (*.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 2 binary32))) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #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 2 binary32)))) (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (*.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 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32)))) (pow.f32 alphay #s(literal 6 binary32)))) (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))) (*.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 u0 (*.f32 alphax alphax)) (*.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 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (*.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)))))))
(* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))
(*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))
(+ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(+ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(+.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (*.f32 (*.f32 alphax alphax) (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 (*.f32 alphax alphax) (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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 u0 (*.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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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))))))))
(+ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (+ (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (+ (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (* -1 (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(+.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (*.f32 (*.f32 alphax alphax) (+.f32 (*.f32 (*.f32 alphax alphax) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphax alphax)) (-.f32 (+.f32 (/.f32 (*.f32 u0 (*.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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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 (*.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 0 binary32) (/.f32 (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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 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 u0 (*.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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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 #s(literal 0 binary32) (/.f32 (*.f32 u0 (*.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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))))))))
(/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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))))
(* (pow alphax 2) (+ (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))))
(*.f32 (*.f32 alphax alphax) (+.f32 (/.f32 (*.f32 u0 (*.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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (*.f32 alphax alphax))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow alphax 4))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2)))))
(*.f32 (*.f32 alphax alphax) (+.f32 (-.f32 (/.f32 (*.f32 u0 (*.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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (*.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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))))) (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 alphax #s(literal 4 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (*.f32 alphax alphax)))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (pow alphax 6))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(*.f32 (*.f32 alphax alphax) (-.f32 (-.f32 (/.f32 (*.f32 u0 (*.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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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 (+.f32 (/.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (*.f32 (*.f32 u0 (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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (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 (*.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 0 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (*.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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))))) (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 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (*.f32 (*.f32 u0 (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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)))) (pow.f32 alphax #s(literal 6 binary32)))) (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (*.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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.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)) (pow.f32 alphax #s(literal 4 binary32))))) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (*.f32 alphax alphax)))))
(/ (* (pow alphax 2) (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/.f32 (*.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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))))
(* (pow alphax 2) (+ (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))))
(*.f32 (*.f32 alphax alphax) (+.f32 (/.f32 (*.f32 u0 (*.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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (*.f32 alphax alphax))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (pow alphax 4))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2)))))
(*.f32 (*.f32 alphax alphax) (+.f32 (-.f32 (/.f32 (*.f32 u0 (*.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 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay))))) (*.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 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (*.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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))))) (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 alphax #s(literal 4 binary32)))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (*.f32 alphax alphax)))))
(* (pow alphax 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (+ (/ (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (/ (* (pow alphay 4) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (pow alphax 6))) (/ (* u0 (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (pow alphax 2))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* (pow alphay 2) (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))))) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
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(/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))))
(/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))))))
(+ (* -2 (/ (* (pow alphay 2) (* u0 (* u1 (* (sin (* 1/2 (PI))) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
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(+ (* u1 (- (* -1 (* u1 (+ (* -4 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* (pow alphax 4) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 3)))))) (/ (* 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 4) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))))) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2))))) (* 2 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 2) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (pow (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) 2)))))))) (/ (* u0 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))))
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(/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 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 (+ (* 1/2 (* u0 (+ (* (pow alphay 2) u0) (pow alphay 2)))) (* 1/2 (pow alphay 2)))) (- 1 (/ 1 (+ 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 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 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
#s(literal 1 binary32)
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
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(* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 u0)))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 u0)))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 u0)))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
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(* -1 (* u0 (- (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 u0))))
(*.f32 (neg.f32 u0) (-.f32 (/.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))
(* -1 (* u0 (- (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 u0))))
(*.f32 (neg.f32 u0) (-.f32 (/.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))
(* -1 (* u0 (- (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 u0))))
(*.f32 (neg.f32 u0) (-.f32 (/.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) u0)))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
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(* (pow alphay 2) (+ (* -1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 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)))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 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)))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 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)))))
(* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2)))
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(* (pow alphay 2) (+ (* -1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 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)))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 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)))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))) (/ 1 (pow alphay 2))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 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)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))) 2))))
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(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 u0 (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(* u0 (- (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(*.f32 u0 (-.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 u0 (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(* u0 (- (* u0 (+ (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(*.f32 u0 (-.f32 (*.f32 u0 (-.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 u0 (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(* u0 (- (* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* u0 (+ (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(*.f32 u0 (-.f32 (*.f32 u0 (-.f32 (*.f32 u0 (-.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 u0 (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(- (/ (pow alphay 2) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(- (+ (/ (pow alphay 2) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (pow alphay 2) (* (pow u0 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(-.f32 (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 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 alphay alphay) (*.f32 u0 u0)) (-.f32 #s(literal 1 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 alphay alphay) #s(literal -1 binary32)) (-.f32 #s(literal 1 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 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (+ (/ (pow alphay 2) (* (pow u0 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (pow alphay 2) (* (pow u0 3) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(-.f32 (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 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 (*.f32 alphay alphay) (*.f32 u0 u0)) (-.f32 #s(literal 1 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 alphay alphay) (*.f32 u0 (*.f32 u0 u0))) (-.f32 #s(literal 1 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 alphay alphay) #s(literal -1 binary32)) (-.f32 #s(literal 1 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 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(- (/ (pow alphay 2) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(- (* -1 (/ (- (* -1 (/ (pow alphay 2) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 alphay alphay) #s(literal -1 binary32)) (-.f32 #s(literal 1 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 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (/.f32 (/.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 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)))
(- (* -1 (/ (- (* -1 (/ (- (/ (pow alphay 2) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 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 alphay alphay) (-.f32 #s(literal 1 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 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) u0) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))
(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))
(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(+ 1 (* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* 1/2 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))))))))
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(+ 1 (* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (+ (* 1/2 (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2))) (* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (+ (* -1/6 (/ (pow alphay 6) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 3))) (/ (pow alphay 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) 2)))))))))))
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(exp (neg (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(exp.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+ (exp (neg (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (/ (* (pow alphay 2) (exp (neg (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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1
#s(literal 1 binary32)
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(exp (neg (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(* u0 (+ (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(*.f32 u0 (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(* u0 (+ (* u0 (- (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))

eval349.0ms (1.2%)

Compiler

Compiled 153124 to 5580 computations (96.4% saved)

prune267.0ms (0.9%)

Pruning

39 alts after pruning (33 fresh and 6 done)

PrunedKeptTotal
New1882171899
Fresh11617
Picked325
Done145
Total1887391926
Accuracy
100.0%
Counts
1926 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.1%
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
99.9%
(pow.f32 (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
100.0%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #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 #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 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
99.3%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #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 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))))))) #s(literal -1/2 binary32))
45.6%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)))) #s(literal -1/2 binary32))
91.8%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 (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))))))) #s(literal -1/2 binary32))
98.6%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32))
45.5%
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax)))) #s(literal -1/2 binary32))
96.4%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
96.4%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
97.1%
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))))
96.9%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.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) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) #s(literal 1 binary32)))
95.0%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
96.5%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))))
45.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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))) #s(literal 1 binary32))))
45.6%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax))) #s(literal 1 binary32))))
✓46.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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))))))
87.8%
(/.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 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
95.4%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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)))))))
✓96.7%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
96.8%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 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)))))))
91.6%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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)))))))
91.7%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0))))) (-.f32 #s(literal 1 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)))))))
96.8%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))))))
96.5%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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)))))))
✓96.9%
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))))))
96.6%
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
96.3%
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
95.3%
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
37.6%
(+.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 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))) #s(literal 1 binary32))
39.2%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.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))))
✓38.3%
(+.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))))
96.0%
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
94.8%
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
99.3%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.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 binary32) u0))))))
98.6%
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
96.6%
(exp.f32 (neg.f32 (/.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓91.6%
#s(literal 1 binary32)
Compiler

Compiled 3586 to 1281 computations (64.3% saved)

regimes356.0ms (1.2%)

Counts
63 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 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)))))))
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(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.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 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Outputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32)))
Calls

13 calls:

113.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
34.0ms
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
20.0ms
u1
18.0ms
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
18.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
Results
AccuracySegmentsBranch
100.0%1u0
100.0%1u1
100.0%1alphax
100.0%1alphay
100.0%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
100.0%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
100.0%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
100.0%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
100.0%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
100.0%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
100.0%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
100.0%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
100.0%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes88.0ms (0.3%)

Counts
60 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))) (-.f32 #s(literal 1 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 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 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))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.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) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
(+.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 u0 (*.f32 alphay alphay))) (*.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 alphay alphay))) (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 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 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.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 #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 u0 (*.f32 alphay alphay))) (*.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 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (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)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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))) #s(literal 1 binary32))))
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.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 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 #s(literal -1/2 binary32) (*.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 (neg.f32 (/.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.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)))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0))))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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) (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 #s(literal 2 binary32) (*.f32 (PI.f32) 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 (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 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 (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))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #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 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))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.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 binary32) u0))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 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) (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) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
Calls

4 calls:

19.0ms
alphay
17.0ms
alphax
16.0ms
u1
15.0ms
u0
Results
AccuracySegmentsBranch
100.0%1u0
100.0%1u1
100.0%1alphax
100.0%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes85.0ms (0.3%)

Counts
59 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
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(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 (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))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #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 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))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.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 binary32) u0))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
Outputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
Calls

4 calls:

17.0ms
u0
17.0ms
alphax
16.0ms
u1
16.0ms
alphay
Results
AccuracySegmentsBranch
100.0%1u0
100.0%1u1
100.0%1alphax
100.0%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes90.0ms (0.3%)

Counts
58 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))) (-.f32 #s(literal 1 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 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 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))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.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) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
(+.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 u0 (*.f32 alphay alphay))) (*.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 alphay alphay))) (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 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 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.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 #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 u0 (*.f32 alphay alphay))) (*.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 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (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)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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))) #s(literal 1 binary32))))
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.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 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 #s(literal -1/2 binary32) (*.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 (neg.f32 (/.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.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)))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0))))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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) (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 #s(literal 2 binary32) (*.f32 (PI.f32) 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 (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 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 (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))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #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 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))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.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 binary32) u0))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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))))))) #s(literal 1 binary32)) #s(literal -1/2 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 #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 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
Calls

4 calls:

17.0ms
alphax
16.0ms
u0
16.0ms
alphay
16.0ms
u1
Results
AccuracySegmentsBranch
99.9%1u0
99.9%1u1
99.9%1alphax
99.9%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes79.0ms (0.3%)

Counts
56 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))) (-.f32 #s(literal 1 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 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 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))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.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) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
(+.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 u0 (*.f32 alphay alphay))) (*.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 alphay alphay))) (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 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 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.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 #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 u0 (*.f32 alphay alphay))) (*.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 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (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)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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))) #s(literal 1 binary32))))
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.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 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 #s(literal -1/2 binary32) (*.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 (neg.f32 (/.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.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)))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0))))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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) (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 #s(literal 2 binary32) (*.f32 (PI.f32) 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 (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 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 (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))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #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 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))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.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 binary32) u0))))))
Outputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #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 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))))))) #s(literal -1/2 binary32))
Calls

4 calls:

16.0ms
alphax
16.0ms
u1
15.0ms
u0
14.0ms
alphay
Results
AccuracySegmentsBranch
99.3%1u0
99.3%1u1
99.3%1alphax
99.3%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes77.0ms (0.3%)

Counts
54 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))) (-.f32 #s(literal 1 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 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 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))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.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) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
(+.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 u0 (*.f32 alphay alphay))) (*.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 alphay alphay))) (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 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 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.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 #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 u0 (*.f32 alphay alphay))) (*.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 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (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)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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))) #s(literal 1 binary32))))
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.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 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 #s(literal -1/2 binary32) (*.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 (neg.f32 (/.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.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)))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0))))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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) (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 #s(literal 2 binary32) (*.f32 (PI.f32) 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 (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 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1 binary32) (/.f32 (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))))))) #s(literal -1/2 binary32))
Outputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
Calls

4 calls:

16.0ms
u1
15.0ms
alphax
15.0ms
u0
15.0ms
alphay
Results
AccuracySegmentsBranch
98.6%1u0
98.6%1u1
98.6%1alphax
98.6%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes70.0ms (0.2%)

Counts
52 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))) (-.f32 #s(literal 1 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 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 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))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.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) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
(+.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 u0 (*.f32 alphay alphay))) (*.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 alphay alphay))) (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 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 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.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 #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 u0 (*.f32 alphay alphay))) (*.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 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (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)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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))) #s(literal 1 binary32))))
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.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 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 #s(literal -1/2 binary32) (*.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 (neg.f32 (/.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.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)))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0))))))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.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) (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 #s(literal 2 binary32) (*.f32 (PI.f32) 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 (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))))))
Outputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32))
Calls

4 calls:

16.0ms
u1
14.0ms
u0
14.0ms
alphay
13.0ms
alphax
Results
AccuracySegmentsBranch
98.6%1alphax
98.6%1u0
98.6%1u1
98.6%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes65.0ms (0.2%)

Counts
44 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))) (-.f32 #s(literal 1 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 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 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))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.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) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
(+.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 u0 (*.f32 alphay alphay))) (*.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 alphay alphay))) (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 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 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.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 #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 u0 (*.f32 alphay alphay))) (*.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 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (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)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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))) #s(literal 1 binary32))))
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.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 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 #s(literal -1/2 binary32) (*.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 (neg.f32 (/.f32 (*.f32 u0 (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.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)))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
Outputs
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
Calls

4 calls:

17.0ms
u1
13.0ms
alphax
12.0ms
u0
11.0ms
alphay
Results
AccuracySegmentsBranch
97.2%1alphax
97.2%1alphay
97.2%1u0
97.2%1u1
Compiler

Compiled 20 to 16 computations (20% saved)

regimes48.0ms (0.2%)

Counts
36 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))) (-.f32 #s(literal 1 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 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 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))) #s(literal 1 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (*.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 alphax alphax))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.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) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
(+.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 u0 (*.f32 alphay alphay))) (*.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 alphay alphay))) (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 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 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.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 #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 u0 (*.f32 alphay alphay))) (*.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 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (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)))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (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))) #s(literal 1 binary32))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
Calls

4 calls:

11.0ms
u0
11.0ms
alphax
10.0ms
u1
10.0ms
alphay
Results
AccuracySegmentsBranch
97.1%1u1
97.1%1alphax
97.1%1alphay
97.1%1u0
Compiler

Compiled 20 to 16 computations (20% saved)

regimes26.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 u0 u0) (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (/.f32 (*.f32 alphay alphay) u0))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (+.f32 (*.f32 u0 (*.f32 (+.f32 #s(literal 1 binary32) u0) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))) (-.f32 #s(literal 1 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)))))))
Outputs
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))))))
Calls

4 calls:

6.0ms
alphax
5.0ms
alphay
5.0ms
u1
5.0ms
u0
Results
AccuracySegmentsBranch
97.1%1u0
97.1%1u1
97.1%1alphax
97.1%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes25.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
Calls

4 calls:

6.0ms
u1
4.0ms
alphax
4.0ms
alphay
4.0ms
u0
Results
AccuracySegmentsBranch
97.1%1u1
97.1%1alphax
97.1%1u0
97.1%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes21.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 u0 (*.f32 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32)) (*.f32 u0 u0))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))) (-.f32 #s(literal 1 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)))))))
Outputs
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32)))))))
Calls

4 calls:

6.0ms
u0
4.0ms
alphay
4.0ms
alphax
4.0ms
u1
Results
AccuracySegmentsBranch
96.9%1alphax
96.9%1u0
96.9%1u1
96.9%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes17.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 alphay alphay))))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) u0) (+.f32 #s(literal 1 binary32) u0)))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (*.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 alphay (*.f32 alphay (*.f32 alphay alphay)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 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)))))))
Outputs
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
Calls

4 calls:

6.0ms
u0
3.0ms
alphax
3.0ms
alphay
3.0ms
u1
Results
AccuracySegmentsBranch
96.7%1u0
96.7%1u1
96.7%1alphax
96.7%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
Outputs
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
Calls

4 calls:

2.0ms
u1
2.0ms
alphax
2.0ms
alphay
2.0ms
u0
Results
AccuracySegmentsBranch
95.3%1u0
95.3%1u1
95.3%1alphax
95.3%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
Outputs
#s(literal 1 binary32)
Calls

4 calls:

4.0ms
alphay
1.0ms
alphax
1.0ms
u1
1.0ms
u0
Results
AccuracySegmentsBranch
91.6%1alphax
91.6%1alphay
91.6%1u0
91.6%1u1
Compiler

Compiled 20 to 16 computations (20% saved)

simplify106.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
606×distribute-lft-neg-in_binary32
600×unsub-neg_binary32
456×neg-mul-1_binary32
376×cancel-sign-sub_binary32
302×neg-sub0_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0112540
1180540
2240540
3316539
4414539
5607539
6850539
71099539
81394539
91654539
101885539
112084539
122215539
132298539
142340539
152350539
162351539
172351539
Stop Event
1×saturated
Calls
Call 1
Inputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 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 #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 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #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 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))))))) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32))
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.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 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
#s(literal 1 binary32)
Outputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay 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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (/.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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)))))) (*.f32 #s(literal 2 binary32) (*.f32 alphay 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)))) (*.f32 alphax alphax))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)) (+.f32 #s(literal 1 binary32) u0))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) #s(literal -2 binary32))))) (*.f32 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u0 u0)) (+.f32 u0 #s(literal 1 binary32)))) (+.f32 (/.f32 (+.f32 #s(literal 1 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 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.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)))))))) #s(literal -1/2 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 #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 alphay alphay)) (/.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 alphax alphax)))))) #s(literal -1/2 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 #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 alphay alphay)) (/.f32 #s(literal 1 binary32) (*.f32 (*.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)))))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #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 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))))))) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay) alphax))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 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) u0)))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay) alphax)))))))) #s(literal -1/2 binary32))
(exp.f32 (neg.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(exp.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay) alphax)))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 (*.f32 u0 (*.f32 (*.f32 alphay alphay) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))) (+.f32 #s(literal 1 binary32) u0))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 u0 #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (+.f32 #s(literal 1 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 #s(literal 1 binary32) (*.f32 u0 u0))))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.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)))) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (-.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal 1/2 binary32)) (+.f32 #s(literal 1 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) (-.f32 #s(literal 1 binary32) u0)))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 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 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0))) (+.f32 (/.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)))) #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) u0) (-.f32 #s(literal 1 binary32) u0)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (+.f32 u0 #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))))
#s(literal 1 binary32)

soundness4.6s (15.2%)

Rules
6774×*-lowering-*.f32
6774×*-lowering-*.f64
6174×*-lowering-*.f32
6174×*-lowering-*.f64
5842×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073829738
1269124839
0804124839
0179877910
1673471568
0805271568
03249
18046
212944
318942
430742
597242
6357142
7738942
0808042
063505
1450480
24476478
08020478
030224
1215204
22209204
08889204
0168994202
1633383753
0813283753
01950102019
1721694388
0812394388
057567
1397517
24159497
08115497
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
1×iter limit
1×node limit
Compiler

Compiled 670 to 196 computations (70.7% saved)

preprocess124.0ms (0.4%)

Compiler

Compiled 1270 to 294 computations (76.9% saved)

end0.0ms (0%)

Profiling

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