Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 29.6s)

analyze1.8s (6%)

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: 1.3s
ival-mult: 277.0ms (21.6% of total)
ival-<=: 168.0ms (13.1% of total)
ival-div: 152.0ms (11.9% of total)
ival-cos: 123.0ms (9.6% of total)
ival-tan: 122.0ms (9.5% of total)
ival-sin: 120.0ms (9.4% of total)
...c/correct-round.rkt:119:19: 107.0ms (8.4% of total)
ival-add: 80.0ms (6.3% of total)
ival-atan: 36.0ms (2.8% of total)
ival-sqrt: 26.0ms (2% of total)
ival-sub: 24.0ms (1.9% of total)
ival-and: 21.0ms (1.6% of total)
ival-pi: 17.0ms (1.3% of total)
const: 5.0ms (0.4% of total)
backward-pass: 2.0ms (0.2% of total)

sample4.8s (16.1%)

Results
4.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.3s
ival-mult: 606.0ms (18.5% of total)
ival-div: 448.0ms (13.7% of total)
ival-tan: 369.0ms (11.3% of total)
ival-cos: 347.0ms (10.6% of total)
...c/correct-round.rkt:119:19: 325.0ms (9.9% of total)
ival-sin: 317.0ms (9.7% of total)
ival-<=: 252.0ms (7.7% of total)
ival-add: 171.0ms (5.2% of total)
ival-atan: 158.0ms (4.8% of total)
ival-sqrt: 105.0ms (3.2% of total)
ival-and: 56.0ms (1.7% of total)
ival-pi: 54.0ms (1.7% of total)
ival-sub: 44.0ms (1.3% of total)
const: 13.0ms (0.4% of total)
backward-pass: 4.0ms (0.1% of total)
Bogosity

preprocess218.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0207755
1562704
21190672
33577642
47481642
03249
17246
212144
318142
429542
595342
6354742
7736042
0805042
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
Outputs
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay))))))))
Call 2
Inputs
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) (neg u0)) (- 1 (neg u0))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphax) (neg alphax))) (/ (* (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphay) (neg alphay))))) u0) (- 1 u0)))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) (neg u0)) (- 1 (neg u0)))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphax) (neg alphax))) (/ (* (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ (neg alphay) alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphay) (neg alphay))))) u0) (- 1 u0))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u0) (* 1/2 (PI)))))))) (* alphay alphay)))) u1) (- 1 u1)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* u0 u0)) (/ (* (sin (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) alphax) (- 1 alphax)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* u0 u0)))) alphay) (- 1 alphay)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* u1 u1)) (/ (* (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI))))))) (cos (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI))))))) (sin (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI)))))))) (* u1 u1)))) u0) (- 1 u0)))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (/ (* (sin (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)))) u0) (- 1 u0)))))
Outputs
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphay))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) (neg u0)) (- 1 (neg u0))))))
(rsqrt (fnmadd (recip (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphay)))) (/ u0 (+ 1 u0)) 1))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) alphay))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphax) (neg alphax))) (/ (* (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (sin (atan (* alphay (/ (tan (* (PI) (fma 2 u1 1/2))) (neg alphax))))) alphay)) (square (/ (cos (atan (* alphay (/ (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)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (sin (atan (* alphay (/ (tan (* (PI) (fma 2 u1 1/2))) (neg alphax))))) alphay)) (square (/ (cos (atan (* alphay (/ (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 (rsqrt (fnmadd (recip (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) alphay)))) (/ u0 (+ 1 u0)) 1)))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) (neg u1)) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))))
(neg (rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) alphay)))))))
(neg (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (neg alphax) (neg alphax))) (/ (* (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay (neg alphax)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))))
(neg (rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (sin (atan (* alphay (/ (tan (* (PI) (fma 2 u1 1/2))) (neg alphax))))) alphay)) (square (/ (cos (atan (* alphay (/ (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 (rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (sin (atan (* alphay (/ (tan (* (PI) (fma 2 u1 1/2))) (neg alphax))))) alphay)) (square (/ (cos (atan (* alphay (/ (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)))))
(rsqrt (+ 1 (/ (/ u1 (- 1 u1)) (+ (square (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u0 1/2)))))) alphax)) (square (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u0 1/2)))))) alphay))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* u0 u0)) (/ (* (sin (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay u0) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) alphax) (- 1 alphax)))))
(rsqrt (fma (recip (+ (square (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay u0)))) u0)) (square (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay u0)))) alphay)))) (/ alphax (- 1 alphax)) 1))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* u0 u0)))) alphay) (- 1 alphay)))))
(rsqrt (fma alphay (recip (* (+ (square (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ u0 alphax)))) alphax)) (square (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ u0 alphax)))) u0))) (- 1 alphay))) 1))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* u1 u1)) (/ (* (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(rsqrt (fma (recip (+ (square (/ (cos (atan (* (/ alphay u1) (tan (* (PI) (fma alphax 2 1/2)))))) u1)) (square (/ (sin (atan (* (/ alphay u1) (tan (* (PI) (fma alphax 2 1/2)))))) alphay)))) (/ u0 (- 1 u0)) 1))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI))))))) (cos (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI))))))) (sin (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI)))))))) (* u1 u1)))) u0) (- 1 u0)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (/ u1 alphax) (tan (* (PI) (fma alphay 2 1/2)))))) alphax)) (square (/ (sin (atan (* (/ u1 alphax) (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)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (square (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphax alphay)))) alphay)) (square (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphax alphay)))) alphax))))))

explain491.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1911(0.4861959218978882 0.0014959370018914342 0.4730890691280365 0.5511202812194824)9(7.889758535384317e-7 0.00022351766529027373 0.03686123713850975 0.003605823963880539)(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)))))))
1873(0.000843149027787149 0.0009056898998096585 0.010387569665908813 0.00022600489319302142)8(3.8971639249041345e-9 0.0018850188935175538 0.0006366943125613034 0.001112304162234068)(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
284.0ms512×0valid
Compiler

Compiled 1750 to 98 computations (94.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 139.0ms
ival-mult: 39.0ms (28.1% of total)
ival-div: 21.0ms (15.1% of total)
ival-tan: 21.0ms (15.1% of total)
ival-sin: 16.0ms (11.5% of total)
ival-cos: 16.0ms (11.5% of total)
ival-add: 8.0ms (5.8% of total)
ival-atan: 7.0ms (5% of total)
ival-sqrt: 4.0ms (2.9% of total)
ival-pi: 2.0ms (1.4% of total)
ival-sub: 2.0ms (1.4% of total)
const: 1.0ms (0.7% 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
▶99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay))))))))
Compiler

Compiled 82 to 30 computations (63.4% saved)

simplify153.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

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

localize241.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.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))))))))
✓accuracy98.7%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy62.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy59.6%
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))
Results
170.0ms256×0valid
Compiler

Compiled 588 to 31 computations (94.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-sin: 50.0ms (41.3% of total)
ival-div: 27.0ms (22.3% of total)
ival-mult: 13.0ms (10.7% of total)
ival-tan: 9.0ms (7.4% of total)
ival-cos: 8.0ms (6.6% of total)
ival-add: 4.0ms (3.3% of total)
ival-sqrt: 4.0ms (3.3% of total)
ival-atan: 3.0ms (2.5% of total)
ival-sub: 2.0ms (1.7% of total)
ival-pi: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series176.0ms (0.6%)

Counts
8 → 288
Calls
Call 1
Inputs
#<alt (/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))))>
#<alt (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay)))))))>
#<alt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))>
#<alt (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay)))))>
#<alt (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (* (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))))))))>
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
39.0ms
u1
@0
(tan (* (PI) (+ 1/2 (* 2 u1))))
12.0ms
u0
@-inf
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))
10.0ms
alphay
@inf
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))))
9.0ms
alphax
@-inf
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))))
9.0ms
alphax
@inf
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))))

rewrite407.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
3616×/-lowering-/.f32
3616×/-lowering-/.f64
3386×*-lowering-*.f32
3386×*-lowering-*.f64
1874×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030280
1197208
21822204
08889204
Stop Event
1×iter limit
1×node limit
Counts
8 → 256
Calls
Call 1
Inputs
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))))
(sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay)))))))
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))
(/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay)))))
(cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (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))))))))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))) #s(literal -1 binary32)))
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
(exp.f32 (neg.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))))))
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/4 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1/2 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/4 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/4 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)))
(/.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 8 binary32) (*.f32 u1 (*.f32 u1 u1)))) (PI.f32)) (+.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 (-.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 (neg.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 8 binary32) (*.f32 u1 (*.f32 u1 u1)))))) (neg.f32 (+.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))))))
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(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 #s(literal 8 binary32) (*.f32 u1 (*.f32 u1 u1)))) (PI.f32))) (neg.f32 (+.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))))))
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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)))
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(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) #s(literal 1 binary32)) (PI.f32))
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(*.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)))
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(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))
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(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 1/2 binary32))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(-.f32 (/.f32 #s(literal 1/4 binary32) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 2 binary32)) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 #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 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(/.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 2 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 (neg.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (neg.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(/.f32 (neg.f32 (+.f32 #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 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(/.f32 (*.f32 (/.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 (neg.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))))
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(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 1/2 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(*.f32 (+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 1/2 binary32))
(*.f32 (exp.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (exp.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))

simplify544.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
7836×*-lowering-*.f32
7836×*-lowering-*.f64
3902×+-lowering-+.f64
3902×+-lowering-+.f32
2226×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
073829738
1266024837
0919824837
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
1
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1
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(sqrt (/ 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 u0))))))
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1
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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)))))
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(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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1
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1
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1
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1
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(/ -1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))
(* -1 (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0)))
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(cos (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)))))
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(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(* 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))))
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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 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(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 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(+ (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))) (* -1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))) (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))))
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(+ (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))) (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (pow (- 1 u0) 2)))))) (pow alphax 4)) (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))))))
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1
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1
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(* 2 (* u1 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1))))
(* 2 (* u1 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))
(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))

eval251.0ms (0.8%)

Compiler

Compiled 82354 to 3966 computations (95.2% saved)

prune100.0ms (0.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New81413827
Fresh000
Picked101
Done000
Total81513828
Accuracy
100.0%
Counts
828 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
49.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
▶95.8%
(/.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)))))
99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
97.4%
(/.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))))))
50.4%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))))
95.5%
(+.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))))
42.5%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
▶97.7%
(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))))))
50.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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))))))
▶100.0%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
▶92.2%
#s(literal 1 binary32)
Compiler

Compiled 1050 to 670 computations (36.2% saved)

simplify260.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))
✓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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))
✓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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
✓cost-diff0
(/.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)))
✓cost-diff0
(+.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))))
✓cost-diff0
(/.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)))))
✓cost-diff0
(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))))))
✓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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))
✓cost-diff0
(log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))
✓cost-diff0
(*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
✓cost-diff3168
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
Rules
2928×*-lowering-*.f32
2928×*-lowering-*.f64
1598×fnmadd-define
1454×/-lowering-/.f32
1454×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0511366
11221262
23131249
310221242
433531242
569511242
082941242
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2)
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))))
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))
(/ u0 (- 1 u0))
u0
(- 1 u0)
1
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* 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)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphax
alphay
(* alphax alphax)
(/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
(* 1/2 (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))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(* alphay alphay)
-1/2
1
(/ 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)
(sqrt (/ 1 (+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(/ 1 (+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
1
(+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* 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)
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))) -1/2)
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))
1
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))
(/ u0 (- 1 u0))
u0
(- 1 u0)
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* 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)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphax
alphay
(* alphax alphax)
(/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
(* 1/2 (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))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(* alphay alphay)
-1/2
Outputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))))))) #s(literal -1/2 binary32))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2)
(*.f32 (log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))))))) #s(literal -1/2 binary32))
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))))
(log1p.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))))))
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))
(/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))))))
(/ 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 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))
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(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
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(/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
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(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
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(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphax
alphay
(* alphax alphax)
(*.f32 alphax alphax)
(/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))
(*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
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(* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(* alphay alphay)
(*.f32 alphay alphay)
-1/2
#s(literal -1/2 binary32)
1
#s(literal 1 binary32)
(/ 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))))
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(/ (* 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)
(sqrt (/ 1 (+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (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 (/ (* 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 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 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
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(/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 u0 (*.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))))
(* 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)
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))) -1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))))))) #s(literal -1/2 binary32))
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))
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1
#s(literal 1 binary32)
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))
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(/ u0 (- 1 u0))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))
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(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
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(/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
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(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
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(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
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(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphax
alphay
(* alphax alphax)
(*.f32 alphax alphax)
(/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))
(*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))
(* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(* alphay alphay)
(*.f32 alphay alphay)
-1/2
#s(literal -1/2 binary32)

localize631.0ms (2.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(-.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)))))))
✓accuracy98.2%
(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))
✓accuracy62.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy99.2%
(*.f32 u0 (*.f32 alphay alphay))
✓accuracy99.1%
(/.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)))
✓accuracy98.7%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy62.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy99.2%
(*.f32 u0 (*.f32 alphay alphay))
✓accuracy99.1%
(/.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)))
✓accuracy98.7%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy62.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.7%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(-.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)))))))
✓accuracy98.2%
(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))
✓accuracy62.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
Results
326.0ms252×0valid
14.0ms4×1valid
Compiler

Compiled 1425 to 52 computations (96.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-add: 23.0ms (15% of total)
ival-div: 22.0ms (14.4% of total)
compiled-spec: 22.0ms (14.4% of total)
ival-mult: 19.0ms (12.4% of total)
ival-pow: 15.0ms (9.8% of total)
ival-tan: 12.0ms (7.8% of total)
ival-sin: 9.0ms (5.9% of total)
ival-cos: 8.0ms (5.2% of total)
ival-atan: 7.0ms (4.6% of total)
ival-log: 5.0ms (3.3% of total)
ival-exp: 3.0ms (2% of total)
ival-sub: 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)
ival-pi: 1.0ms (0.7% of total)

series791.0ms (2.7%)

Counts
20 → 780
Calls
Call 1
Inputs
#<alt (exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2))>
#<alt (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2)>
#<alt (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))))>
#<alt (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* 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 (sqrt (/ 1 (+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))>
#<alt (/ 1 (+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))>
#<alt (+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))>
#<alt (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))>
#<alt (pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))) -1/2)>
#<alt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))>
#<alt (/ u0 (- 1 u0))>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))>
#<alt (* (PI) (+ 1/2 (* 2 u1)))>
#<alt (* u0 (* alphay alphay))>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))>
#<alt (+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))>
#<alt (+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))>
#<alt (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (* (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3))))) (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))))>
#<alt (+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3))))) (+ (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow 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#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (* 1/2 (PI))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))>
#<alt (* 2 (* u1 (PI)))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))>
#<alt (* 2 (* u1 (PI)))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
#<alt (* (pow alphay 2) u0)>
Calls

195 calls:

TimeVariablePointExpression
92.0ms
u1
@-inf
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2)
59.0ms
u1
@inf
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2)
55.0ms
u1
@0
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2))
38.0ms
alphax
@0
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2))
37.0ms
alphay
@0
(sqrt (/ 1 (+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))

rewrite375.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
2926×fma-lowering-fma.f32
2926×fma-lowering-fma.f64
2608×*-lowering-*.f32
2608×*-lowering-*.f64
2182×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051573
1346495
23636495
08147495
Stop Event
1×iter limit
1×node limit
Counts
20 → 456
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2)
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))))
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* 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)))
(sqrt (/ 1 (+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(/ 1 (+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* u0 (* alphay alphay)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))) -1/2)
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))
(/ u0 (- 1 u0))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
(* (PI) (+ 1/2 (* 2 u1)))
(* u0 (* alphay alphay))
Outputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #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 #s(literal 1 binary32) (*.f32 alphax (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay)))))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax (*.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))))
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(-.f32 (/.f32 #s(literal 1/4 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 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.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) (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) (/.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (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 1/8 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 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 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.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 (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 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(/.f32 (-.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (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 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.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) (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) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (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 (neg.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.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))))))))))) (neg.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 (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))))
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))) (-.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))
(/.f32 (*.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(/.f32 (*.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(*.f32 (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 (-.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (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 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))) (/.f32 #s(literal 1 binary32) (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 (exp.f32 (log.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)))))) (exp.f32 (log.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
(+.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(+.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(fma.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(fma.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (PI.f32) u1) #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))) #s(literal 3 binary32))) (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))) (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)))))
(/.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 #s(literal 2 binary32) u1) (*.f32 #s(literal 4 binary32) (*.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)))
(/.f32 (*.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (*.f32 #s(literal 2 binary32) u1) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)))) (PI.f32)) (+.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 (-.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 #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 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.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)) (cbrt.f32 (*.f32 (PI.f32) (PI.f32)))) (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)))
(*.f32 u0 (*.f32 alphay alphay))
(*.f32 alphay (*.f32 u0 alphay))
(*.f32 (*.f32 alphay alphay) u0)
(*.f32 (*.f32 u0 alphay) alphay)

simplify1.3s (4.5%)

Algorithm
1×egg-herbie
Rules
6284×*-lowering-*.f32
6284×*-lowering-*.f64
3174×+-lowering-+.f64
3174×+-lowering-+.f32
2122×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01895140032
16928127212
08006127212
Stop Event
1×iter limit
1×node limit
Counts
780 → 780
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
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1
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(* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))))) (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (+ (* 12 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 4) (* 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 8) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) 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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
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(/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow 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(/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (+ (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (+ (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
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)))))
(+ (* 1/2 (/ (pow alphay 2) (* u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2))))) (/ 1 (+ 1 (* -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) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2)))) (* -1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 3))))) (pow u0 2))) (/ 1 (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* -1/2 (/ (pow alphay 2) (* u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2))))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (pow alphay 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2)))) (+ (* -1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 3)))) (* 1/2 (/ (* (pow alphay 2) (+ (* -1/2 (/ (pow alphay 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2)))) (* -1/4 (/ (pow alphay 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 3)))))) (* (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))))))))) (pow u0 3))) (/ 1 (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (+ (* -1/2 (/ (pow alphay 2) (* u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2))))) (+ (* -1/2 (/ (pow alphay 2) (* (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2))))) (* -1/4 (/ (pow alphay 4) (* (pow u0 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 3))))))))
(/ 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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(* 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)))))))
(* 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))) (* 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)))))))))
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(* 1/2 (* (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))))
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1
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1
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1
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
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)))
(/ (* (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)))
(/ (* (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)))
(/ (* (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)))
(/ (* (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)))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* 2 (* u1 (PI)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(+.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 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 u0 (-.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (+.f32 (*.f32 u0 (-.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) #s(literal 2 binary32))) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(*.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))) (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay)))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))))
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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))))
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(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
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(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
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(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
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(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
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(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
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(log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2))))))))
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(/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))) (/.f32 (*.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))))) (*.f32 (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))))))) (/.f32 (*.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* (pow alphay 2) (+ (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
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1
#s(literal 1 binary32)
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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 alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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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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u0
(* u0 (+ 1 u0))
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(* u0 (+ 1 (* u0 (+ 1 u0))))
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(* u0 (+ 1 (* u0 (+ 1 (* u0 (+ 1 u0))))))
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#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u0)))
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(- (* -1 (/ (+ 1 (/ 1 u0)) u0)) 1)
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-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u0)))
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(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
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(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
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(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
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(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
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(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
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(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
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(/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))
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(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(*.f32 (*.f32 #s(literal -1 binary32) u1) (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(*.f32 (*.f32 #s(literal -1 binary32) u1) (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(*.f32 (*.f32 #s(literal -1 binary32) u1) (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1)))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))
(* (pow alphay 2) u0)
(*.f32 u0 (*.f32 alphay alphay))

eval380.0ms (1.3%)

Compiler

Compiled 225038 to 6423 computations (97.1% saved)

prune225.0ms (0.8%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New1845181863
Fresh448
Picked235
Done000
Total1851251876
Accuracy
100.0%
Counts
1876 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal -1/2 binary32))
99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
54.9%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
98.8%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
93.0%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
▶95.2%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
▶97.4%
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
49.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (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)))))
▶94.5%
(/.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)))))
95.8%
(/.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)))))
95.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
50.4%
(/.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))))))
94.6%
(+.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))))
▶95.5%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
42.5%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
94.6%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.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))))))
97.7%
(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 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
97.6%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
97.5%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 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))))))))
16.3%
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
▶100.0%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
✓100.0%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
✓92.2%
#s(literal 1 binary32)
Compiler

Compiled 1989 to 1298 computations (34.7% saved)

simplify205.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))
✓cost-diff0
(/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))
✓cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
✓cost-diff0
(/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))))
✓cost-diff0
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 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))) (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)))
✓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 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 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)))))
✓cost-diff0
(*.f32 u0 (*.f32 alphay alphay))
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay)))
✓cost-diff96
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓cost-diff96
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
✓cost-diff0
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))
✓cost-diff0
(log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))
✓cost-diff0
(*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
Rules
3396×*-lowering-*.f32
3396×*-lowering-*.f64
2102×sum3-define
1634×/-lowering-/.f32
1634×/-lowering-/.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0671523
11611395
24321386
312001383
437261379
576181379
084491379
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))))
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))
(/ u0 (- 1 u0))
u0
(- 1 u0)
1
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax 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)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphax
alphay
(* alphax alphax)
(/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))
(pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2)
(sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(* alphay alphay)
-1/2
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
1
(/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* -1/2 (* u0 (* alphay alphay)))
-1/2
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(- 1 u0)
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
1/2
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
u1
alphax
(/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
1
(+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(/ (* 1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
(* 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)
(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 (pow (+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))) 1/2))
1
(pow (+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))) 1/2)
(+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2))))
(/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))
(/ (* u0 (* alphay alphay)) (- 1 u0))
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(- 1 u0)
(+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2))
1/2
(* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)
(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))
(* 2 u1)
u1
(/ alphax alphay)
alphax
-1/2
(pow (+ 1 (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))) -1/2)
(+ 1 (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))
1
(/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))
u0
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* 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)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphax
alphay
(* alphax alphax)
(/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
(* 1/2 (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))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(* alphay alphay)
-1/2
Outputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
(*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))))
(log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))
(/ 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 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))
(+.f32 (/.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)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay)))
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/.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))
(/ 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))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphax
alphay
(* alphax alphax)
(*.f32 alphax alphax)
(/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2)
(pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(* alphay alphay)
(*.f32 alphay alphay)
-1/2
#s(literal -1/2 binary32)
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 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 alphax alphay)))))))) (-.f32 #s(literal 1 binary32) u0)))
1
#s(literal 1 binary32)
(/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(/.f32 (*.f32 (*.f32 alphay alphay) (/.f32 (neg.f32 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 alphax alphay)))))))) (-.f32 #s(literal 1 binary32) u0))
(* -1/2 (* u0 (* alphay alphay)))
(*.f32 u0 (*.f32 (*.f32 alphay 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
(* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
u1
alphax
(/ 1 (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (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)))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (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))
(/.f32 (*.f32 u0 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (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)
(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 (pow (+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))) 1/2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))) #s(literal 1/2 binary32)))
1
#s(literal 1 binary32)
(pow (+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))) 1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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))
(+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(/ (* u0 (* alphay alphay)) (- 1 u0))
(*.f32 u0 (*.f32 alphay (/.f32 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)
(+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
1/2
#s(literal 1/2 binary32)
(* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)
(*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(cos (* 2 (atan (/ (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))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphax
-1/2
#s(literal -1/2 binary32)
(pow (+ 1 (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))) -1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (*.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 1/2 binary32) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(+ 1 (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))
(+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (*.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 1/2 binary32) (*.f32 alphay alphay))))))
1
#s(literal 1 binary32)
(/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))
(/.f32 u0 (+.f32 (/.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)) (*.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 1/2 binary32) (*.f32 alphay alphay)))))
u0
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))
(+.f32 (/.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)) (*.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 1/2 binary32) (*.f32 alphay alphay))))
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/.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))
(/ 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))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphax
alphay
(* alphax alphax)
(*.f32 alphax alphax)
(/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))
(*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
(* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(* alphay alphay)
(*.f32 alphay alphay)
-1/2
#s(literal -1/2 binary32)

localize616.0ms (2.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(-.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)))))))
✓accuracy98.2%
(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))
✓accuracy62.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.9%
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
✓accuracy98.7%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))
✓accuracy62.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy99.2%
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
✓accuracy99.2%
(*.f32 u0 (*.f32 alphay alphay))
✓accuracy98.7%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy62.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy99.1%
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓accuracy98.7%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
✓accuracy62.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.9%
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
✓accuracy98.7%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.2%
(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))
✓accuracy62.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
Results
360.0ms252×0valid
12.0ms4×1valid
Compiler

Compiled 1589 to 67 computations (95.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 179.0ms
ival-div: 32.0ms (17.9% of total)
ival-pow: 30.0ms (16.8% of total)
ival-mult: 27.0ms (15.1% of total)
ival-sin: 18.0ms (10.1% of total)
ival-cos: 16.0ms (8.9% of total)
ival-add: 14.0ms (7.8% of total)
ival-tan: 10.0ms (5.6% of total)
ival-atan: 8.0ms (4.5% of total)
compiled-spec: 8.0ms (4.5% of total)
ival-log: 6.0ms (3.4% of total)
ival-exp: 3.0ms (1.7% of total)
ival-sub: 3.0ms (1.7% of total)
ival-pi: 2.0ms (1.1% of total)
const: 1.0ms (0.6% of total)
backward-pass: 1.0ms (0.6% of total)

series939.0ms (3.2%)

Counts
28 → 1104
Calls
Call 1
Inputs
#<alt (exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2))>
#<alt (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)>
#<alt (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))))>
#<alt (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))>
#<alt (+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))>
#<alt (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))>
#<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))))>
#<alt (+ 1 (/ (* 1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))>
#<alt (/ (* 1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))>
#<alt (* 1/2 (* u0 (* alphay alphay)))>
#<alt (/ 1 (pow (+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))) 1/2))>
#<alt (pow (+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))) 1/2)>
#<alt (+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2))))>
#<alt (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))>
#<alt (pow (+ 1 (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))) -1/2)>
#<alt (+ 1 (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))>
#<alt (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))>
#<alt (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)>
#<alt (* (PI) (+ 1/2 (* 2 u1)))>
#<alt (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))>
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)))))) (/ (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 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))>
#<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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ 1 (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (* 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))))>
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#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
Calls

276 calls:

TimeVariablePointExpression
202.0ms
u1
@-inf
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
162.0ms
alphay
@-inf
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2))
40.0ms
u1
@inf
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
32.0ms
alphax
@-inf
(+ 1 (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))
28.0ms
u1
@0
(pow (+ 1 (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))) -1/2)

rewrite467.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
2780×*-lowering-*.f32
2780×*-lowering-*.f64
2258×/-lowering-/.f32
2258×/-lowering-/.f64
1816×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067770
1484652
25589632
08344632
Stop Event
1×iter limit
1×node limit
Counts
28 → 687
Calls
Call 1
Inputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))))
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* -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 (/ (* 1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(/ (* 1/2 (* u0 (* alphay alphay))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))
(* 1/2 (* u0 (* alphay alphay)))
(/ 1 (pow (+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))) 1/2))
(pow (+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))) 1/2)
(+ 1 (/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2))))
(/ (/ (* u0 (* alphay alphay)) (- 1 u0)) (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)))
(pow (+ 1 (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))) -1/2)
(+ 1 (/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))
(/ u0 (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(* (PI) (+ 1/2 (* 2 u1)))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
Outputs
(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))))
(*.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/4 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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/4 binary32)))
(*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))))
(log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))
(+.f32 (log1p.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32)))))))
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(/.f32 (*.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(*.f32 (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 (+.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (-.f32 (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 1/2 binary32))))))
(*.f32 (-.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (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 1/4 binary32) (*.f32 #s(literal 1/4 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))) (/.f32 #s(literal 1 binary32) (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 (exp.f32 (log.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)))))) (exp.f32 (log.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)))))))

simplify1.8s (6%)

Algorithm
1×egg-herbie
Rules
6508×*-lowering-*.f32
6508×*-lowering-*.f64
4306×+-lowering-+.f64
4306×+-lowering-+.f32
3042×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02627144593
08436144593
Stop Event
1×iter limit
1×node limit
Counts
1104 → 1104
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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ 1 (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))))
(+ (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (* 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (+ (* 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3)))) (+ (* -1 (/ (+ (/ 1 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3)))) (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))) (* 1/2 (/ (+ (/ 1 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow 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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(+ (* -1 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
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(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0))))))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (+ (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (pow alphax 6))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0))))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0)))
(* (pow alphay 2) (+ (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0)))))))))
(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0)))
(* (pow alphay 2) (+ (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0)))))))))
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(+ 1 (* u0 (+ (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))))
(+ 1 (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (* u0 (- (* 1/4 (/ (* (pow alphay 4) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (* u0 (- (* u0 (- (* -1/8 (/ (* (pow alphay 6) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6))) (* -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))))))
(* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (pow alphay 2) u0)))
(/ (+ (* -4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 4) u0))) (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) u0)
(/ (- (+ (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (* 8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 6) (pow u0 2))))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 4) u0)))) u0)
(/ (- (+ (* -16 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (pow alphay 8) (pow u0 3)))) (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (+ (* -8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 6) (pow u0 2)))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 4) u0))))) u0)
(* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (pow alphay 2) u0)))
(* -1 (/ (+ (* -2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 4) u0)))) u0))
(* -1 (/ (+ (* -2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (* -1 (/ (- (* 8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 6) u0))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow alphay 4)))) u0))) u0))
(* -1 (/ (+ (* -2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (pow alphay 8) u0))) (* 8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow alphay 6)))) u0)) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow alphay 4)))) u0))) u0))
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (* (pow alphay 2) (- (* 1/4 (/ (* (pow alphay 2) (pow u0 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1/8 (/ (* (pow alphay 2) (pow u0 3)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6))) (* -1/4 (/ (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))) (* 1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (pow alphay 2) u0)))
(/ (+ (* -4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 2) (pow u0 2)))) (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0))) (pow alphay 2))
(/ (- (+ (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0)) (* 8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 4) (pow u0 3))))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))
(/ (- (+ (* -16 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (pow alphay 6) (pow u0 4)))) (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0))) (+ (* -8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 4) (pow u0 3)))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 2) (pow u0 2)))))) (pow alphay 2))
(* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (pow alphay 2) u0)))
(/ (+ (* -4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 2) (pow u0 2)))) (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0))) (pow alphay 2))
(/ (- (+ (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0)) (* 8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 4) (pow u0 3))))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))
(/ (- (+ (* -16 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (pow alphay 6) (pow u0 4)))) (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0))) (+ (* -8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 4) (pow u0 3)))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 2) (pow u0 2)))))) (pow alphay 2))
(/ 1 (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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 (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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 (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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 (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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)))))
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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 (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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 (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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 (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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 (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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 (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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 (+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (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 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 u0)))
(* u0 (+ (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 u0)))
(* u0 (+ (* 1/2 (/ (pow alphay 2) (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 (- (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 u0))))
(* -1 (* u0 (- (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 u0))))
(* -1 (* u0 (- (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 u0))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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(* (pow alphay 2) (+ (* 1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 (pow alphay 2))))
(* (pow alphay 2) (+ (* 1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 (pow alphay 2))))
(* (pow alphay 2) (+ (* 1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 (pow alphay 2))))
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(* (pow alphay 2) (+ (* 1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 (pow alphay 2))))
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(* (pow alphay 2) (+ (* 1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (/ 1 (pow alphay 2))))
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1
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1
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1
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(* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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1
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1
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(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))) (/ u0 (* (pow alphax 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (/ u0 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(/ (* (pow alphay 2) u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ u0 (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ u0 (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (pow alphay 6))) (+ (/ 1 (pow alphay 2)) (/ u0 (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(/ (* (pow alphay 2) u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ u0 (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ u0 (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (pow alphay 6))) (+ (/ 1 (pow alphay 2)) (/ u0 (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
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(/ u0 (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
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(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ u0 (pow (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))) (* -1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (+ (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (pow alphax 6))) (/ u0 (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3)))) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (/ u0 (* (pow alphax 2) (pow (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))))
(/ (* (pow alphay 2) u0) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))) (/ u0 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))) (/ u0 (* (pow alphax 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (/ u0 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (+ (* -1 (/ u0 (* (pow alphax 4) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (* (pow alphax 2) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))) (/ u0 (* (pow alphax 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (/ u0 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(/ (* (pow alphay 2) u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* (pow alphay 2) (+ (/ u0 (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))
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(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI))))
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Outputs
1
#s(literal 1 binary32)
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(* u0 (- (* -1/4 (* u0 (- (* 2 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))))) (* 1/2 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(* -1 (+ (/ 1 (* u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (pow alphax 4))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))
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(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0))))))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (+ (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (pow alphax 6))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0))))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (*.f32 alphay alphay) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (*.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.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 6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))))))) (/.f32 (*.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax)))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (*.f32 alphay alphay) (-.f32 (*.f32 (*.f32 alphay alphay) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (+.f32 (neg.f32 (*.f32 (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (*.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.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 6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.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 #s(literal 1 binary32) u0))))) (+.f32 (/.f32 (*.f32 u0 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (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 6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))) (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32))) (*.f32 (*.f32 (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 4 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))))) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (*.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.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 6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))))))) (/.f32 (*.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax)))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))))))
(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (+.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))
(* (pow alphay 2) (+ (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (+.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) 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 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32))) (*.f32 (pow.f32 (+.f32 (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 (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 2 binary32)) (-.f32 #s(literal 1 binary32) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))))))
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1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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(+ 1 (* u0 (- (* 1/4 (/ (* (pow alphay 4) u0) (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))))))
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(+ 1 (* u0 (- (* u0 (- (* -1/8 (/ (* (pow alphay 6) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6))) (* -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))))))
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(* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (pow alphay 2) u0)))
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(/ (+ (* -4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 4) u0))) (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) u0)
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(/ (- (+ (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (* 8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 6) (pow u0 2))))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 4) u0)))) u0)
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (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 (*.f32 #s(literal 8 binary32) (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 6 binary32))) (*.f32 (pow.f32 alphay #s(literal 6 binary32)) (*.f32 u0 u0))) (/.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32))) (*.f32 (pow.f32 alphay #s(literal 4 binary32)) u0)))) u0)
(/ (- (+ (* -16 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (pow alphay 8) (pow u0 3)))) (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (+ (* -8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 6) (pow u0 2)))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 4) u0))))) u0)
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(* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (pow alphay 2) u0)))
(/.f32 (*.f32 #s(literal 2 binary32) (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 alphay alphay) u0))
(* -1 (/ (+ (* -2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 4) u0)))) u0))
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(* -1 (/ (+ (* -2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (* -1 (/ (- (* 8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 6) u0))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow alphay 4)))) u0))) u0))
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(* -1 (/ (+ (* -2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (pow alphay 8) u0))) (* 8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow alphay 6)))) u0)) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow alphay 4)))) u0))) u0))
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1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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(+ 1 (* (pow alphay 2) (- (* 1/4 (/ (* (pow alphay 2) (pow u0 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
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(* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (pow alphay 2) u0)))
(/.f32 (*.f32 #s(literal 2 binary32) (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 alphay alphay) u0))
(/ (+ (* -4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 2) (pow u0 2)))) (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0))) (pow alphay 2))
(/.f32 (+.f32 (/.f32 (*.f32 #s(literal -4 binary32) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32))) (*.f32 (*.f32 alphay alphay) (*.f32 u0 u0))) (/.f32 (*.f32 #s(literal 2 binary32) (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))) u0)) (*.f32 alphay alphay))
(/ (- (+ (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0)) (* 8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 4) (pow u0 3))))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))
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(/ (- (+ (* -16 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (pow alphay 6) (pow u0 4)))) (* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) u0))) (+ (* -8 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (* (pow alphay 4) (pow u0 3)))) (* 4 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (pow alphay 2) (pow u0 2)))))) (pow alphay 2))
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(* 2 (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (pow alphay 2) u0)))
(/.f32 (*.f32 #s(literal 2 binary32) (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 alphay alphay) u0))
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#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))))
(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))))
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(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))))))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(* u0 (+ (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 u0 (+.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(* u0 (+ (* u0 (- (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 u0 (+.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 u0 (+.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))))
(* u0 (+ (* u0 (- (* u0 (- (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 u0 (+.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 u0 (+.f32 (*.f32 u0 (+.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))))
(* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))
(+ (* -1 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(- (+ (* -1 (/ (pow alphay 2) (* (pow u0 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(-.f32 (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) (*.f32 u0 u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) (/.f32 (/.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(- (+ (* -1 (/ (pow alphay 2) (* (pow u0 3) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (pow alphay 2) (* (pow u0 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(-.f32 (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 u0 u0))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (/.f32 (*.f32 alphay alphay) (*.f32 u0 u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))
(+ (* -1 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (/.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+ (* -1 (/ (+ (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (+.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (/.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) u0) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) u0)) (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (+.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (/.f32 (/.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) u0))) u0) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
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(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
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(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
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(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
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(+ 1 (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))
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(+ 1 (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))
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(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/.f32 u0 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (/.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 alphay alphay))))
(* u0 (+ (/ 1 u0) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
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(* u0 (+ (/ 1 u0) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (/.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 alphay alphay))))))
(* u0 (+ (/ 1 u0) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (/.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 alphay alphay))))))
(/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))
(/.f32 u0 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (/.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 alphay alphay))))
(* u0 (+ (/ 1 u0) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (/.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 alphay alphay))))))
(* u0 (+ (/ 1 u0) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (/.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 alphay alphay))))))
(* u0 (+ (/ 1 u0) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(*.f32 u0 (+.f32 (/.f32 #s(literal 1 binary32) u0) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay))) (/.f32 (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))) (*.f32 alphay alphay))))))
(+ 1 (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))
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(/ (* (pow alphay 2) u0) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))) (/ u0 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (neg.f32 (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 alphax alphax)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))) (/ u0 (* (pow alphax 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (/ u0 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) (*.f32 (*.f32 alphay alphay) (-.f32 (*.f32 (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay)) (*.f32 #s(literal -1 binary32) (+.f32 (/.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 3 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 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))))) (/.f32 (/.f32 u0 (*.f32 alphax alphax)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32)))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (+ (* -1 (/ u0 (* (pow alphax 4) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (* (pow alphax 2) (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))) (/ u0 (* (pow alphax 2) (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (/ u0 (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(/ (* (pow alphay 2) u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
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(* (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 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (pow alphay 6))) (/ u0 (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
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(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))

eval646.0ms (2.2%)

Compiler

Compiled 244965 to 10060 computations (95.9% saved)

prune311.0ms (1%)

Pruning

36 alts after pruning (31 fresh and 5 done)

PrunedKeptTotal
New2625192644
Fresh51217
Picked325
Done033
Total2633362669
Accuracy
100.0%
Counts
2669 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal -1/2 binary32))
▶99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
54.9%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
98.8%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
93.0%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
94.6%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal -1/2 binary32))
92.8%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
92.8%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
54.4%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
✓95.2%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
94.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
97.5%
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
94.5%
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal 1/2 binary32)))
▶97.1%
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)))) #s(literal 1/2 binary32)))
94.5%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) #s(literal 1 binary32)))
49.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (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)))))
94.5%
(/.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 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
95.8%
(/.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)))))
95.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
94.1%
(/.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) (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))))))
94.1%
(/.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 1 binary32) u0))))
▶16.8%
(/.f32 #s(literal 1 binary32) (*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))))
99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
50.4%
(/.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))))))
94.6%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
36.3%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32)))) alphax)))))))))
▶95.6%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
42.5%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
95.5%
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
94.9%
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
94.6%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay))))))
▶16.3%
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
✓100.0%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
✓100.0%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
✓92.2%
#s(literal 1 binary32)
Compiler

Compiled 2801 to 1861 computations (33.6% saved)

simplify231.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 alphay alphay)
✓cost-diff128
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
✓cost-diff128
(pow.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)))) #s(literal 1/2 binary32))
✓cost-diff128
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)))) #s(literal 1/2 binary32)))
✓cost-diff0
(/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
✓cost-diff0
(sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
✓cost-diff0
(*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))))
✓cost-diff0
(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)))
✓cost-diff0
(*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)))
✓cost-diff0
(/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay)
✓cost-diff0
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
✓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 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))))))))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
✓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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))
✓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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))
✓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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
Rules
3026×*-lowering-*.f32
3026×*-lowering-*.f64
2046×fma-define
2032×sum4-define
1586×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0681317
11651209
24241203
310961203
434451203
569941203
082121203
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))) -1/2)
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))
1
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))
(/ u0 (- 1 u0))
u0
(- 1 u0)
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax 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)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphax
alphay
(* alphax alphax)
(/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))
(pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2)
(sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(* alphay alphay)
-1/2
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
1
(/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(* -1/2 (* u0 (* alphay alphay)))
-1/2
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))
(- 1 u0)
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))
1/2
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
2
(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
(neg (/ (* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0))) alphay))
(/ (* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0))) alphay)
(* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0)))
(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)))))
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
alphax
(sqrt (/ (- 1 u0) u0))
(/ (- 1 u0) u0)
(- 1 u0)
1
u0
(/ 1 (* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
1
(* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
alphay
(sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
(/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
1/2
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
-1/2
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
u1
alphax
(- 1 u0)
(/ 1 (pow (* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay)))) 1/2))
1
(pow (* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay)))) 1/2)
(* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay))))
(* alphay alphay)
alphay
(+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay)))
(/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
1/2
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
-1/2
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
u1
alphax
(- 1 u0)
(/ 1 (* alphay alphay))
Outputs
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))) -1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))
1
#s(literal 1 binary32)
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))
(/ u0 (- 1 u0))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay)))
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax)))
(/ 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))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphax
alphay
(* alphax alphax)
(*.f32 alphax alphax)
(/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))
(pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2)
(pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(* alphay alphay)
(*.f32 alphay alphay)
-1/2
#s(literal -1/2 binary32)
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay (*.f32 alphay #s(literal -1/2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))))))
1
#s(literal 1 binary32)
(/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(/.f32 (*.f32 u0 (*.f32 alphay (*.f32 alphay #s(literal -1/2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))))
(* -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
(* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))))
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))
(*.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))))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))
(* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
2
#s(literal 2 binary32)
(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
(neg (/ (* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0))) alphay))
(*.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) (neg.f32 alphay)))
(/ (* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0))) alphay)
(*.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) alphay))
(* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0)))
(*.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)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 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)
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
(sqrt (/ (- 1 u0) u0))
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))
(/ (- 1 u0) u0)
(+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
1
#s(literal 1 binary32)
u0
(/ 1 (* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
(/.f32 (/.f32 #s(literal 1 binary32) alphay) (sqrt.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
1
#s(literal 1 binary32)
(* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(*.f32 alphay (sqrt.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
alphay
(sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
(sqrt.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
-1/2
#s(literal -1/2 binary32)
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
u1
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(/ 1 (pow (* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay)))) 1/2))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))) #s(literal 1/2 binary32)))
1
#s(literal 1 binary32)
(pow (* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay)))) 1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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))
(* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay)))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)))
(/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
-1/2
#s(literal -1/2 binary32)
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
u1
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(/ 1 (* alphay alphay))
(/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))

localize3.1s (10.5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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 (*.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%
(sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
✓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%
(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)))
✓accuracy100.0%
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
✓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%
(cos.f32 (*.f32 #s(literal 2 binary32) (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%
(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))))
✓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
2.8s256×5exit
Compiler

Compiled 1363 to 69 computations (94.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-pow: 302.0ms (19.8% of total)
backward-pass: 298.0ms (19.5% of total)
ival-div: 230.0ms (15% of total)
ival-mult: 190.0ms (12.4% of total)
ival-sin: 110.0ms (7.2% of total)
ival-tan: 100.0ms (6.5% of total)
ival-add: 100.0ms (6.5% of total)
ival-cos: 95.0ms (6.2% of total)
ival-atan: 48.0ms (3.1% of total)
ival-sqrt: 24.0ms (1.6% of total)
ival-sub: 14.0ms (0.9% of total)
ival-neg: 7.0ms (0.5% of total)
ival-pi: 6.0ms (0.4% of total)
const: 4.0ms (0.3% of total)

series209.0ms (0.7%)

Counts
29 → 1008
Calls
Call 1
Inputs
#<alt (pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))) -1/2)>
#<alt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))>
#<alt (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))>
#<alt (/ u0 (- 1 u0))>
#<alt (+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))>
#<alt (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))>
#<alt (* -1/2 (* u0 (* alphay alphay)))>
#<alt (* u0 (* alphay alphay))>
#<alt (neg (/ (* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0))) alphay))>
#<alt (/ (* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0))) alphay)>
#<alt (* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0)))>
#<alt (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (/ 1 (* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))>
#<alt (* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))>
#<alt (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))>
#<alt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))>
#<alt (/ 1 (pow (* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay)))) 1/2))>
#<alt (pow (* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay)))) 1/2)>
#<alt (* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay))))>
#<alt (* alphay alphay)>
#<alt (PI)>
#<alt (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))>
#<alt (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (cos (* 2 (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)))))) (/ (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 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))>
#<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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ 1 (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (* 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (+ (* 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (pow u0 2)) (sqrt (- 1 (/ 1 (+ (/ 1 (* (pow alphax 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#<alt (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))>
#<alt (cos (* 2 (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

252 calls:

TimeVariablePointExpression
9.0ms
alphax
@inf
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))) -1/2)
6.0ms
alphax
@-inf
(* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
5.0ms
alphax
@inf
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
4.0ms
u1
@-inf
(/ 1 (* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
4.0ms
u0
@inf
(neg (/ (* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0))) alphay))

rewrite374.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
3258×fma-lowering-fma.f32
3258×fma-lowering-fma.f64
3202×*-lowering-*.f32
3202×*-lowering-*.f64
2316×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068603
1446552
24686546
08474546
Stop Event
1×iter limit
1×node limit
Counts
29 → 438
Calls
Call 1
Inputs
(pow (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))) -1/2)
(+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))
(/ u0 (- 1 u0))
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(* -1/2 (* u0 (* alphay alphay)))
(* u0 (* alphay alphay))
(neg (/ (* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0))) alphay))
(/ (* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0))) alphay)
(* (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (sqrt (/ (- 1 u0) u0)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(/ 1 (* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
(* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
(/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/ 1 (pow (* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay)))) 1/2))
(pow (* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay)))) 1/2)
(* (* alphay alphay) (+ (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) (/ 1 (* alphay alphay))))
(* alphay alphay)
(PI)
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(cos (* 2 (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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))))
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))) #s(literal -1/2 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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/4 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/4 binary32)))
(+.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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))
(fma.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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal 1 binary32))
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(*.f32 (+.f32 (/.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)))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))) (-.f32 (/.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)))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))
(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)))))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(+.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))))) (fma.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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(+.f32 (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))))) (fma.f32 (neg.f32 (exp.f32 (log.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))))))) (exp.f32 (log.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(+.f32 (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)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(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 1/2 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)))))))))
(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))))) (fma.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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(-.f32 (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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(/.f32 (-.f32 (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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) #s(literal 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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (*.f32 (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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))))
(/.f32 (-.f32 (*.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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) (+.f32 (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 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(*.f32 (+.f32 (/.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))))))

simplify780.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
6298×*-lowering-*.f32
6298×*-lowering-*.f64
2754×+-lowering-+.f64
2754×+-lowering-+.f32
1992×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0172574293
1612668872
0813368872
Stop Event
1×iter limit
1×node limit
Counts
1008 → 1008
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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ 1 (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))
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(+ (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (* 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (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)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))))
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(- 1 u0))))) (/ (* (pow alphay 4) (* u0 (+ (* -1 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (* -1 (/ (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) 2)))))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (- 1 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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)))))
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(+ (* -1 (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
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(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0))))))) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (+ (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (/ (* (pow alphay 8) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (pow alphax 6))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0))))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (/ (* (pow alphay 4) u0) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0)))
(* (pow alphay 2) (+ (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0)))))))))
(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0)))
(* (pow alphay 2) (+ (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(+ 1 (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))))
(+ 1 (* u0 (+ (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))))))
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(/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
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(/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
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1
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1
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(+ (* 1/2 (* (/ 1 (* alphay (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (sqrt (/ 1 (pow (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3))))) (* (/ 1 alphay) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (+ (* -1/2 (/ (+ (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2))) (* 3/4 (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3))))) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (+ (* 2 (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3)))) (+ (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2))) (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 4)))))) (* alphay u0)) (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (* 1/2 (* (/ (+ (/ 1 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 2))) (* 3/4 (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3))))) alphay) (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) u0)) (* -1/2 (* (/ 1 (* alphay (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (sqrt (/ 1 (pow (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 3)))))) u0)) (* (/ 1 alphay) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/8 (/ (* (pow alphay 2) (pow u0 2)) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (* 1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)))))))))
(* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))))
(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))))))
(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (+ (* 1/16 (* (/ 1 (pow alphay 6)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 5) (pow (- 1 u0) 5)) (pow u0 5))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))))))
(* -1 (* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
(* -1 (* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))))))
(* -1 (* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))))))
(* -1 (* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (+ (* 1/16 (* (/ 1 (pow alphay 6)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 5) (pow (- 1 u0) 5)) (pow u0 5))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))))))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(+ 1 (* u0 (+ (* 1/2 (* (pow alphay 2) (* u0 (- (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* 1/4 (/ (pow alphay 2) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
(+ 1 (* u0 (+ (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* u0 (+ (* 1/2 (* (pow alphay 2) (* u0 (- (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* 1/2 (/ (* (pow alphay 2) (- (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* 1/4 (/ (pow alphay 2) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* 1/2 (* (pow alphay 2) (- (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* 1/4 (/ (pow alphay 2) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))))
(* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(+ (* -1/2 (* (/ alphay (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
(+ (* -1/2 (* (/ alphay (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (+ (* -1/2 (* (/ (* alphay (+ (* 1/4 (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (pow u0 2)) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))
(+ (* -1/2 (* (/ alphay (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (+ (* -1/2 (* (/ (* alphay (+ (* 1/4 (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (pow u0 2)) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (+ (* -1/2 (* (/ (* alphay (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (pow u0 3)) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))))
(* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(+ (* -1/2 (* (/ alphay (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
(+ (* -1 (/ (+ (* 1/2 (* (/ alphay (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* 1/2 (* (/ (* alphay (+ (* 1/4 (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) u0) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))) u0)) (* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
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1
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1
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(pow alphay 2)
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin (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)))))
(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))
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(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
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(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))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
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(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
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(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
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(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos (* 2 (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))))
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(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
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)))))) (/ (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 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 (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)))))
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(* -1 (/ (+ (sqrt (/ (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0)) u0)) (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 3) (pow (- 1 u0) 3)) (pow u0 3)))))) alphay))
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/.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)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.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 4 binary32))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (*.f32 alphay alphay) (-.f32 (*.f32 (*.f32 alphay alphay) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32))))) (/.f32 (*.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.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 6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))))))) (/.f32 (*.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.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 4 binary32))))))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2))))) (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (*.f32 alphay alphay) (-.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (*.f32 (-.f32 (+.f32 (/.f32 (*.f32 u0 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (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 6 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 (*.f32 (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 4 binary32))) (*.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 4 binary32)))))) (*.f32 (-.f32 (/.f32 (neg.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32))))) (/.f32 (*.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.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 6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.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 #s(literal 1 binary32) u0))))) (*.f32 #s(literal -1 binary32) (*.f32 alphay alphay))) (*.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 4 binary32))))) (/.f32 (*.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.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 6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))))))) (/.f32 (*.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.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 4 binary32))))))))
(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (/.f32 (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))))))
(* (pow alphay 2) (+ (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0)))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) 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 alphay alphay) (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 (+.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 (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 2 binary32)))))))
(* (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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))))))
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(* (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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0)))))))))
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(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0)))
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(* (pow alphay 2) (+ (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0)))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))) (pow alphay 4))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))))))
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(* (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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 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 (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0)))))))))
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u0
(* u0 (+ 1 u0))
(*.f32 u0 (+.f32 #s(literal 1 binary32) u0))
(* u0 (+ 1 (* u0 (+ 1 u0))))
(*.f32 u0 (+.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 #s(literal 1 binary32) u0))))
(* u0 (+ 1 (* u0 (+ 1 (* u0 (+ 1 u0))))))
(*.f32 u0 (+.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 #s(literal 1 binary32) u0))))))
-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) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
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1
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))))
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(* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))
(* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))
(*.f32 u0 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))))
(* u0 (+ (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))))
(*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (*.f32 u0 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))))))
(* u0 (+ (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* u0 (+ (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))))))
(*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (*.f32 u0 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))))))))
(* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))
(+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))))
(+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))
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(+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 3) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))))
(+.f32 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 u0 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (*.f32 (*.f32 u0 u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))) (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 u0 u0))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))))
(* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))
(+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))))
(+ (* -1 (/ (+ (* -1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) u0)) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))) u0))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) u0)) (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) u0)) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
(-.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (-.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (/.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))) u0)) u0))
(* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
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(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(* (/ 1 alphay) (sqrt (/ 1 (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(+ 1 (* (pow alphay 2) (+ (* -1/8 (/ (* (pow alphay 2) (pow u0 2)) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (* 1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 alphay alphay) (*.f32 u0 u0))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 u0 u0)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (*.f32 alphay alphay) (*.f32 u0 (*.f32 u0 u0)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 3 binary32)))))))))
(* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))))
(*.f32 alphay (+.f32 (sqrt.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))) (*.f32 alphay alphay)))))
(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))))))
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(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (+ (* 1/16 (* (/ 1 (pow alphay 6)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 5) (pow (- 1 u0) 5)) (pow u0 5))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))))))
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(* -1 (* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))))))
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1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(+ 1 (* u0 (+ (* 1/2 (* (pow alphay 2) (* u0 (- (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* 1/4 (/ (pow alphay 2) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
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(+ 1 (* u0 (+ (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* u0 (+ (* 1/2 (* (pow alphay 2) (* u0 (- (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* 1/2 (/ (* (pow alphay 2) (- (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* 1/4 (/ (pow alphay 2) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* 1/2 (* (pow alphay 2) (- (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) (* 1/4 (/ (pow alphay 2) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))))
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(* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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(+ (* -1/2 (* (/ alphay (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (+ (* -1/2 (* (/ (* alphay (+ (* 1/4 (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (pow u0 2)) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))
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(+ (* -1/2 (* (/ alphay (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (+ (* -1/2 (* (/ (* alphay (+ (* 1/4 (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (pow u0 2)) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (+ (* -1/2 (* (/ (* alphay (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (pow u0 3)) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))))
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(* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(*.f32 alphay (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(+ (* -1/2 (* (/ alphay (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (sqrt (/ 1 (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* alphay (sqrt (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
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(* alphay (sqrt (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
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(* alphay (sqrt (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
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(* alphay (sqrt (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
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(* alphay (sqrt (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
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1
#s(literal 1 binary32)
(+ 1 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
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1
#s(literal 1 binary32)
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(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(pow alphay 2)
(*.f32 alphay alphay)
(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))
(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))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(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)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(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)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(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)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(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)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(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)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(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)))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
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(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))
(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))))

eval263.0ms (0.9%)

Compiler

Compiled 125916 to 5034 computations (96% saved)

prune245.0ms (0.8%)

Pruning

39 alts after pruning (30 fresh and 9 done)

PrunedKeptTotal
New187451879
Fresh12526
Picked145
Done055
Total1876391915
Accuracy
100.0%
Counts
1915 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal -1/2 binary32))
✓99.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
54.9%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
98.8%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
93.0%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
94.6%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal -1/2 binary32))
92.8%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
92.8%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
54.4%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
✓95.2%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
94.9%
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
97.2%
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
97.5%
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
94.5%
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal 1/2 binary32)))
✓97.1%
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)))) #s(literal 1/2 binary32)))
94.5%
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) #s(literal 1 binary32)))
49.3%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (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)))))
94.5%
(/.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 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)))))
95.8%
(/.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)))))
95.8%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
94.1%
(/.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) (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))))))
94.1%
(/.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 1 binary32) u0))))
✓16.8%
(/.f32 #s(literal 1 binary32) (*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))))
99.5%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
50.4%
(/.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))))))
94.6%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
94.6%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
36.3%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32)))) alphax)))))))))
42.5%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
95.6%
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
95.2%
(+.f32 #s(literal 1 binary32) (*.f32 u0 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))))))
16.3%
(*.f32 (/.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))) alphay) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
94.9%
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
94.6%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay))))))
✓16.3%
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
✓100.0%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
✓100.0%
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
✓92.2%
#s(literal 1 binary32)
Compiler

Compiled 3803 to 1439 computations (62.2% saved)

regimes216.0ms (0.7%)

Counts
57 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
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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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay))) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) (*.f32 alphax alphax)) (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))) (*.f32 alphay alphay))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Outputs
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
Calls

13 calls:

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)))
17.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
17.0ms
alphay
16.0ms
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
16.0ms
u1
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)

regimes99.0ms (0.3%)

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

4 calls:

27.0ms
u1
21.0ms
alphay
14.0ms
alphax
13.0ms
u0
Results
AccuracySegmentsBranch
100.0%1u0
100.0%1u1
100.0%1alphax
100.0%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes79.0ms (0.3%)

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

4 calls:

16.0ms
u1
15.0ms
alphay
14.0ms
u0
14.0ms
alphax
Results
AccuracySegmentsBranch
99.9%1u0
99.9%1u1
99.9%1alphax
99.9%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes74.0ms (0.3%)

Counts
51 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32)))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
(*.f32 (/.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))) alphay) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
(/.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 #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 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 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)))))
(+.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))))
(/.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay))))))
(/.f32 #s(literal 1 binary32) (*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))))
(/.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) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 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) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)))) #s(literal 1/2 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) 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)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 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))))))
(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))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 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 u0 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
Calls

4 calls:

16.0ms
u1
15.0ms
alphax
13.0ms
alphay
13.0ms
u0
Results
AccuracySegmentsBranch
99.9%1u0
99.9%1u1
99.9%1alphax
99.9%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes72.0ms (0.2%)

Counts
49 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32)))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
(*.f32 (/.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))) alphay) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
(/.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 #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 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 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)))))
(+.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))))
(/.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay))))))
(/.f32 #s(literal 1 binary32) (*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))))
(/.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) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 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) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)))) #s(literal 1/2 binary32)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) 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)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 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))))))
(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))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 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 u0 (*.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax)))))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.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)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
Calls

4 calls:

15.0ms
u1
14.0ms
alphax
14.0ms
alphay
12.0ms
u0
Results
AccuracySegmentsBranch
98.8%1u0
98.8%1u1
98.8%1alphax
98.8%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes67.0ms (0.2%)

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

4 calls:

18.0ms
u0
13.0ms
alphay
13.0ms
u1
12.0ms
alphax
Results
AccuracySegmentsBranch
97.7%1u0
97.7%1u1
97.7%1alphax
97.7%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes48.0ms (0.2%)

Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32)))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
(*.f32 (/.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))) alphay) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
(/.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 #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 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 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)))))
(+.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))))
(/.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay))))))
(/.f32 #s(literal 1 binary32) (*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))))
(/.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) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 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) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))) alphay)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)))) #s(literal 1/2 binary32)))
Outputs
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
Calls

4 calls:

10.0ms
alphay
10.0ms
u0
9.0ms
alphax
9.0ms
u1
Results
AccuracySegmentsBranch
97.6%1alphax
97.6%1u0
97.6%1u1
97.6%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes45.0ms (0.2%)

Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32)))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
(*.f32 (/.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))) alphay) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
(/.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 #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 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 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)))))
(+.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))))
(/.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay))))))
(/.f32 #s(literal 1 binary32) (*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))))
(/.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) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 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) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal -1/2 binary32))
Outputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal -1/2 binary32))
Calls

4 calls:

12.0ms
alphax
9.0ms
u0
8.0ms
u1
8.0ms
alphay
Results
AccuracySegmentsBranch
97.6%1u0
97.6%1u1
97.6%1alphax
97.6%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes50.0ms (0.2%)

Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32)))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
(*.f32 (/.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))) alphay) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
(/.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 #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 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 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)))))
(+.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))))
(/.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay))))))
(/.f32 #s(literal 1 binary32) (*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))))
(/.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) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 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) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
Outputs
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
Calls

4 calls:

12.0ms
u1
9.0ms
alphay
8.0ms
alphax
7.0ms
u0
Results
AccuracySegmentsBranch
97.5%1u0
97.5%1u1
97.5%1alphax
97.5%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes41.0ms (0.1%)

Counts
27 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32)))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
(*.f32 (/.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))) alphay) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
(/.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 #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 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 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)))))
(+.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))))
(/.f32 #s(literal 1 binary32) (*.f32 u0 (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.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 1 binary32) u0))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 u0 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (*.f32 alphay alphay))))))
(/.f32 #s(literal 1 binary32) (*.f32 alphay (sqrt.f32 (/.f32 u0 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))))
(/.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) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 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) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) #s(literal 1/2 binary32)))
Outputs
(/.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)))))
Calls

4 calls:

13.0ms
alphax
8.0ms
alphay
7.0ms
u1
7.0ms
u0
Results
AccuracySegmentsBranch
95.8%1alphax
95.8%1u0
95.8%1alphay
95.8%1u1
Compiler

Compiled 20 to 16 computations (20% saved)

regimes24.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32)))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))))
(neg.f32 (/.f32 (*.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))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) alphay))
(*.f32 (/.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))) alphay) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)))))
(/.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 #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 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))))
Outputs
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
Calls

4 calls:

7.0ms
alphax
5.0ms
u1
5.0ms
alphay
4.0ms
u0
Results
AccuracySegmentsBranch
95.8%1u0
95.8%1u1
95.8%1alphax
95.8%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes20.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32)))) alphax)))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
Calls

4 calls:

9.0ms
alphay
3.0ms
alphax
3.0ms
u0
3.0ms
u1
Results
AccuracySegmentsBranch
95.6%1u0
95.6%1u1
95.6%1alphax
95.6%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes10.0ms (0%)

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

4 calls:

4.0ms
alphax
2.0ms
alphay
2.0ms
u1
2.0ms
u0
Results
AccuracySegmentsBranch
94.6%1u0
94.6%1u1
94.6%1alphax
94.6%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes5.0ms (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:

1.0ms
alphax
1.0ms
u0
1.0ms
alphay
1.0ms
u1
Results
AccuracySegmentsBranch
92.2%1u0
92.2%1alphax
92.2%1alphay
92.2%1u1
Compiler

Compiled 20 to 16 computations (20% saved)

simplify19.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
64×*-commutative_binary32
58×+-commutative_binary32
18×sub-neg_binary32
12×neg-sub0_binary32
12×neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120522
1181522
2203522
3215522
4223522
5225522
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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) 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 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 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 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
#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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))))
(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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #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) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #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 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32)))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 alphay alphay) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal -1/2 binary32))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))) #s(literal 1/2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.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 alphax alphay))))))))) #s(literal 1/2 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))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))) #s(literal 2 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) u0) (*.f32 u0 (*.f32 alphay alphay)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 u0 #s(literal -1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))) (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
#s(literal 1 binary32)

soundness5.3s (18%)

Rules
7836×*-lowering-*.f32
7836×*-lowering-*.f64
6508×*-lowering-*.f32
6508×*-lowering-*.f64
6298×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01895140032
16928127212
08006127212
051573
1346495
23636495
08147495
073829738
1266024837
0919824837
068603
1446552
24686546
08474546
02627144593
08436144593
0172574293
1612668872
0813368872
030280
1197208
21822204
08889204
03249
17246
212144
318142
429542
595342
6354742
7736042
0805042
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 771 to 294 computations (61.9% saved)

preprocess132.0ms (0.4%)

Compiler

Compiled 1236 to 294 computations (76.2% saved)

end0.0ms (0%)

Profiling

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