Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 28.4s)

analyze1.6s (5.7%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
0%0%0%100%0%0%0%5
0%0%0%100%0%0%0%6
6.2%0%0%100%0%0%0%7
9.4%0%0%100%0%0%0%8
14.1%0%0%100%0%0%0%9
21.1%0%0%100%0%0%0%10
31.6%0%0%100%0%0%0%11
36.9%0%0%100%0%0%0%12
Compiler

Compiled 123 to 49 computations (60.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 216.0ms (19.1% of total)
ival-cos: 139.0ms (12.3% of total)
ival-div: 125.0ms (11% of total)
ival-tan: 122.0ms (10.8% of total)
ival-sin: 120.0ms (10.6% of total)
...c/correct-round.rkt:119:19: 111.0ms (9.8% of total)
ival-<=: 90.0ms (7.9% of total)
ival-sub: 54.0ms (4.8% of total)
ival-add: 51.0ms (4.5% of total)
ival-atan: 38.0ms (3.4% of total)
ival-sqrt: 26.0ms (2.3% of total)
ival-and: 24.0ms (2.1% of total)
ival-pi: 13.0ms (1.1% of total)
const: 4.0ms (0.4% of total)
backward-pass: 2.0ms (0.2% of total)

sample4.6s (16.2%)

Results
3.9s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-mult: 881.0ms (26.2% of total)
ival-tan: 382.0ms (11.4% of total)
ival-div: 377.0ms (11.2% of total)
ival-sin: 330.0ms (9.8% of total)
...c/correct-round.rkt:119:19: 317.0ms (9.4% of total)
ival-cos: 303.0ms (9% of total)
ival-<=: 240.0ms (7.1% of total)
ival-add: 166.0ms (4.9% of total)
ival-atan: 128.0ms (3.8% of total)
ival-sqrt: 80.0ms (2.4% of total)
ival-and: 65.0ms (1.9% of total)
ival-sub: 39.0ms (1.2% of total)
ival-pi: 36.0ms (1.1% of total)
const: 11.0ms (0.3% of total)
backward-pass: 4.0ms (0.1% of total)
Bogosity

preprocess246.0ms (0.9%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0207755
1562704
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))))))

explain518.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2051(5.508976391865872e-5 0.0011548607144504786 0.0015952851390466094 0.0004846614319831133)6(3.670144188561153e-10 0.003123427042737603 0.0031487029045820236 0.006630914751440287)(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
1962(9.07089230395286e-8 3.623691213761049e-7 0.020543446764349937 0.0001368265802739188)7(0.02757609821856022 0.000453276967164129 0.020525161176919937 0.0038621644489467144)(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
00-0-(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax))
00-0-(*.f32 #s(literal 2 binary32) (PI.f32))
00-0-(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
00-0-alphay
00-0-(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
00-0-(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
00-0-(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))
00-0-(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
00-0-(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
00-0-(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
00-0-#s(literal 1 binary32)
00-0-(*.f32 alphay alphay)
00-0-(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
00-0-(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
00-0-(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
00-0-(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
00-0-u0
00-0-alphax
00-0-u1
00-0-(*.f32 #s(literal 1/2 binary32) (PI.f32))
00-0-(-.f32 #s(literal 1 binary32) u0)
00-0-(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
00-0-#s(literal 1/2 binary32)
00-0-(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
00-0-(/.f32 alphay alphax)
00-0-#s(literal 2 binary32)
00-0-(PI.f32)
00-0-(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
00-0-(*.f32 alphax alphax)
00-0-(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
Results
297.0ms512×0valid
Compiler

Compiled 1750 to 98 computations (94.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-tan: 70.0ms (37.9% of total)
ival-mult: 30.0ms (16.2% of total)
ival-div: 21.0ms (11.4% of total)
ival-cos: 17.0ms (9.2% of total)
ival-sin: 16.0ms (8.7% of total)
ival-sqrt: 10.0ms (5.4% of total)
ival-add: 7.0ms (3.8% of total)
ival-atan: 7.0ms (3.8% of total)
ival-pi: 2.0ms (1.1% of total)
ival-sub: 2.0ms (1.1% of total)
const: 1.0ms (0.5% 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
▶99.3%
(/.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)

simplify171.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 2 (0.0ms)

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

localize367.0ms (1.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(*.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))))))))
✓accuracy59.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy57.4%
(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
144.0ms256×0valid
Compiler

Compiled 588 to 31 computations (94.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-add: 40.0ms (41.6% of total)
ival-div: 11.0ms (11.4% of total)
ival-mult: 11.0ms (11.4% of total)
ival-tan: 9.0ms (9.4% of total)
ival-cos: 9.0ms (9.4% of total)
ival-sin: 8.0ms (8.3% of total)
ival-atan: 3.0ms (3.1% of total)
ival-sub: 2.0ms (2.1% of total)
ival-sqrt: 2.0ms (2.1% of total)
ival-pi: 1.0ms (1% of total)
const: 1.0ms (1% of total)
backward-pass: 0.0ms (0% of total)

series200.0ms (0.7%)

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

72 calls:

TimeVariablePointExpression
41.0ms
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))))))))
19.0ms
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))))))))
17.0ms
u1
@inf
(/ 1 (sqrt (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))))))))
11.0ms
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
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))))))))

rewrite399.0ms (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))))
(* (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))))
(* (PI) (+ 1/2 (* 2 u1)))
Outputs
(neg.f32 (/.f32 #s(literal -1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.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 #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)))))))))))
(/.f32 (neg.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)))) (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)))))))))
(/.f32 (neg.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))) (neg.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(/.f32 (+.f32 (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)))))))
(+.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(+.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (*.f32 #s(literal 2 binary32) u1) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (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 (*.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))) (/.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) (*.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)))))))
(/.f32 (neg.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))))) (neg.f32 (-.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))))
(/.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))))))
(/.f32 (neg.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1))))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(/.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))))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 u1 u1))) (PI.f32))) (neg.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 8 binary32) (*.f32 u1 (*.f32 u1 u1)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/8 binary32))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))) (-.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) #s(literal 1/2 binary32))))))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))

simplify575.0ms (2%)

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
(+ 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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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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(/ (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)))))
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(+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
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(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
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(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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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)
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* 2 (* u1 (PI)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(+ (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))) (* -1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))) (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))))
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(+ (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))) (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (pow (- 1 u0) 2)))))) (pow alphax 4)) (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))))))
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1
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1
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(* 1/2 (PI))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(* 2 (* u1 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1))))
(* 2 (* u1 (PI)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (*.f32 u1 (+.f32 (*.f32 (PI.f32) #s(literal -2 binary32)) (/.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) u1))))

eval135.0ms (0.5%)

Compiler

Compiled 82354 to 3966 computations (95.2% saved)

prune100.0ms (0.4%)

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
99.2%
(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))
99.8%
(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 (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))
43.1%
(/.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)))))
▶96.7%
(/.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)))))
▶99.2%
(/.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))))
97.6%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
99.3%
(/.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))))))
96.7%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (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))))
35.7%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
▶98.0%
(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))))))
44.4%
(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))))))
▶99.9%
(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)))
▶90.3%
#s(literal 1 binary32)
Compiler

Compiled 1106 to 688 computations (37.8% saved)

simplify260.0ms (0.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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 (/.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))
✓cost-diff0
(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)))
✓cost-diff0
(/.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))))
✓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
1456×/-lowering-/.f32
1456×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0531417
11281310
23171296
310191289
433511289
569511289
082941289
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)
(/ 1 (sqrt (+ (/ (/ 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
(sqrt (+ (/ (/ 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)))) 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)
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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.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))))) alphax) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) 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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.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))))) alphax) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) 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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.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))))) alphax) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) 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))))
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(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.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))))) alphax) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) alphay)) alphay))
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/.f32 (/.f32 #s(literal 1 binary32) (*.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))))) 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 (-.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) 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)

localize587.0ms (2.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
✓accuracy97.9%
(-.f32 #s(literal 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)))))))
✓accuracy59.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy99.1%
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
✓accuracy99.1%
(*.f32 u0 (*.f32 alphay alphay))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy59.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy99.1%
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
✓accuracy99.1%
(*.f32 u0 (*.f32 alphay alphay))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy59.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
✓accuracy97.9%
(-.f32 #s(literal 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)))))))
✓accuracy59.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
Results
312.0ms251×0valid
11.0ms5×1valid
Compiler

Compiled 1481 to 53 computations (96.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-div: 22.0ms (18.8% of total)
ival-mult: 18.0ms (15.4% of total)
ival-tan: 10.0ms (8.6% of total)
ival-cos: 10.0ms (8.6% of total)
ival-add: 9.0ms (7.7% of total)
ival-sin: 9.0ms (7.7% of total)
ival-atan: 7.0ms (6% of total)
compiled-spec: 7.0ms (6% of total)
ival-pow: 6.0ms (5.1% of total)
ival-sub: 5.0ms (4.3% of total)
ival-log: 5.0ms (4.3% of total)
ival-sqrt: 3.0ms (2.6% of total)
ival-exp: 2.0ms (1.7% of total)
const: 1.0ms (0.9% of total)
backward-pass: 1.0ms (0.9% of total)
ival-pi: 1.0ms (0.9% of total)

series746.0ms (2.6%)

Counts
21 → 840
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 (/ 1 (sqrt (+ (/ (/ 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)))>
#<alt (sqrt (+ (/ (/ 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))>
#<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)))) 1)>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))>
#<alt (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)>
#<alt (* (PI) (+ 1/2 (* 2 u1)))>
#<alt (* u0 (* alphay alphay))>
#<alt (* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))>
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))))))>
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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 (/ (* (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 (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)>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI))))>
#<alt (+ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))>
#<alt (+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (cos (* 1/2 (PI))))) (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))>
#<alt (+ (* u1 (+ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
#<alt (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))>
Calls

210 calls:

TimeVariablePointExpression
173.0ms
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)
51.0ms
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)
43.0ms
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
alphay
@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))
22.0ms
alphay
@-inf
(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))

rewrite366.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
2992×fma-lowering-fma.f32
2992×fma-lowering-fma.f64
2596×*-lowering-*.f32
2596×*-lowering-*.f64
2230×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053631
1363542
23765542
08197542
Stop Event
1×iter limit
1×node limit
Counts
21 → 465
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)))
(/ 1 (sqrt (+ (/ (/ 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)))
(sqrt (+ (/ (/ 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)))) 1)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(* (PI) (+ 1/2 (* 2 u1)))
(* u0 (* alphay alphay))
(* alphay (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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 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 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.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 (cos.f32 (*.f32 #s(literal 2 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))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.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 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #s(literal 1/2 binary32)) #s(literal -1 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 (cos.f32 (*.f32 #s(literal 2 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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(fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 #s(literal 2 binary32) u1) (PI.f32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (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 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (*.f32 (*.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)))
(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 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)))
(/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1)) #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 (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 (*.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)
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))

simplify1.8s (6.4%)

Algorithm
1×egg-herbie
Rules
7208×*-lowering-*.f32
7208×*-lowering-*.f64
3644×+-lowering-+.f64
3644×+-lowering-+.f32
2300×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02111159932
17782146754
08030146754
Stop Event
1×iter limit
1×node limit
Counts
840 → 840
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (* 1/2 (* (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (+ (* 1/2 (* (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (sqrt (/ 1 (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3))))) (* 1/2 (* (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))))
(+ (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 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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 (* 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))))))))) (* u1 (+ (* -1 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (* (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (* (pow (+ 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)))))))) (* -1/4 (* u1 (+ (* -4 (/ (* (pow alphay 4) (* (pow u0 2) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (* (pow alphax 8) (* (pow (cos (* 1/2 (PI))) 2) (* (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 alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (* (pow (- 1 u0) 2) (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)))) 4)))))))) (* -2 (/ (+ (* -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) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 4) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))))))) (* -1 (/ (* u0 (+ (* -4 (/ (* (pow alphay 4) (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 6) (* (pow (cos (* 1/2 (PI))) 2) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 4 (/ (* (PI) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (+ 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)))))))))))))))
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(+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 3))))) (/ (* (pow alphay 2) (+ (* 2 (/ (* (sin (* 1/2 (PI))) (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* 4 (/ (* (PI) (* (sin (* 1/2 (PI))) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (cos (* 1/2 (PI))))))) (* (pow alphax 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 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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)))))))))
(+ (* -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))))))))) (* -1/2 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (+ 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))))))) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))))))
(+ (* -1/2 (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))))))))) (* (pow alphax 2) (+ (* -1/2 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (+ 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))))))) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))))) (* -1/48 (* (pow alphax 2) (+ (* -24 (/ (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3)))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 6) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2)))))) (+ 1 (/ u0 (* (- 1 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))))))))) (* -12 (/ (* (pow u0 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 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))))))) 2) (* (pow (- 1 u0) 2) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 4)))))))))))))
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(/ (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3)))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 6) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2)))))) (+ 1 (/ u0 (* (- 1 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))))))))) (* -12 (/ (* (pow u0 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 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))))))) 2) (* (pow (- 1 u0) 2) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 4))))))))) (* -1/1440 (* (pow alphax 2) (+ (* -720 (/ (+ (* -1 (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 8) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin 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alphax)))) (pow alphay 2)))) 3)))))) (/ (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 6) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2)))))))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ 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))))))) 2) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow 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(- (+ (* -1 (/ (+ (* -1 (/ u0 (* (- 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) (* (- 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)))) 2)))))) (pow alphax 4))) (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ u0 (* (pow alphax 2) (* (- 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)))) 2)))))
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ u0 (* (- 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) (* (- 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)))) 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) (* (- 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)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 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)))) 2)))))) (pow alphax 6))) (/ u0 (* (- 1 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) (* (- 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 alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 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)))) 2)))))) (/ u0 (* (pow alphax 2) (* (- 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)))) 2)))))))
(/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (+ (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (+ (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
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)))))
(+ (* 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) (* 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))))) (* -1/4 (/ (pow alphay 4) (* u0 (* (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) (* (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))))) u0)) (/ 1 (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -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)))))) (* u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) (+ (* 1/4 (/ (pow alphay 4) (* u0 (* (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) (* 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 (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)))))) u0)) (* 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))))) u0)) (/ 1 (+ 1 (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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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 (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)) (* (pow alphay 2) u0))
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1
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(+ (sqrt (+ 1 (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (+ (* -1/2 (* (/ u0 (* (pow alphax 2) (* (- 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)))) 2)))) (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))))) (* -1/2 (* (/ (+ (* -1 (/ u0 (* (- 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) (* (- 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)))) 2))))) (* 1/4 (/ (pow u0 2) (* (+ 1 (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (* (pow (- 1 u0) 2) (pow (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 4))))))) (pow alphax 4)) (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))))))
(+ (sqrt (+ 1 (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))) (+ (* -1/2 (* (/ u0 (* (pow alphax 2) (* (- 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)))) 2)))) (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ u0 (* (- 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) (* (- 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)))) 2))))) (* 1/4 (/ (pow u0 2) (* (+ 1 (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (* (pow (- 1 u0) 2) (pow (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 4))))))) (pow alphax 4)) (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))))) (* -1/2 (* (/ (+ (* -1 (/ (+ (* -1 (/ u0 (* (- 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) (* (- 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)))) 2)))))) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ u0 (* (- 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) (* (- 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)))) 2))))) (* 1/4 (/ (pow u0 2) (* (+ 1 (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (* (pow (- 1 u0) 2) (pow (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 4)))))))) (* (+ 1 (/ u0 (* (- 1 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 (- (* 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 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 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)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 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)))) 2))))))) (pow alphax 6)) (sqrt (/ 1 (+ 1 (/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))))))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))))) (* 1/2 (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))))))))
(* alphay (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0))))))
(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (+ (* 1/4 (/ (* (- 1 u0) (* (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) 2) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 4)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))))))
(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (+ (* 1/4 (/ (* (- 1 u0) (* (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) 2) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 4)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (* -1/2 (/ (* (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (+ (* 1/4 (/ (* (- 1 u0) (* (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) 2) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (* (- 1 u0) (* (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) u0)) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))))) (pow alphay 6)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0))))))))
(* -1 (* alphay (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
(* -1 (* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))))))
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(/ (* (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)))
(/ (* (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 (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)
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI))))
(+ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (cos (* 1/2 (PI))))) (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
(+ (* u1 (+ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
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 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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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(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
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(sqrt (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))
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(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (*.f32 (*.f32 alphay alphay) (*.f32 #s(literal -1/2 binary32) (+.f32 (*.f32 (*.f32 alphay alphay) (+.f32 (*.f32 #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 #s(literal -1/2 binary32) (*.f32 u0 (+.f32 (/.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)))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 u0 u0)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))) (+.f32 (/.f32 (*.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)))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 u0 u0)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32)))))))))))
(* alphay (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(*.f32 alphay (sqrt.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0))))))
(*.f32 alphay (+.f32 (sqrt.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.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 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) u0))) (*.f32 alphay alphay)))))
(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (+ (* 1/4 (/ (* (- 1 u0) (* (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) 2) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 4)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))))))
(*.f32 alphay (+.f32 (sqrt.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (+.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1 binary32) (*.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 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) u0))) (*.f32 alphay alphay))) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (+.f32 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 8 binary32)))) (*.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 (+.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 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(* -1 (* alphay (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))))))
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(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
(+.f32 (/.f32 (*.f32 alphay (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (*.f32 alphay u1) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (cos (* 1/2 (PI))))) (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
(+.f32 (/.f32 (*.f32 alphay (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 u1 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 alphay u1) (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 alphay (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))))))
(+ (* u1 (+ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI))))) (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))))))) (/ (* alphay (sin (* 1/2 (PI)))) (cos (* 1/2 (PI)))))
(+.f32 (/.f32 (*.f32 alphay (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 u1 (+.f32 (*.f32 alphay (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (*.f32 u1 (+.f32 (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 alphay (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (*.f32 alphay u1) (-.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 (/.f32 (*.f32 #s(literal -4 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (+.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (/.f32 (*.f32 (PI.f32) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (/.f32 (*.f32 #s(literal 4/3 binary32) (*.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/.f32 (*.f32 alphay (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))

eval406.0ms (1.4%)

Compiler

Compiled 246575 to 6898 computations (97.2% saved)

prune273.0ms (1%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1906181924
Fresh448
Picked415
Done000
Total1914231937
Accuracy
100.0%
Counts
1937 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(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))
▶99.8%
(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 (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))
96.7%
(/.f32 #s(literal 1 binary32) (+.f32 (/.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))))) #s(literal 1 binary32)))
43.1%
(/.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)))))
94.1%
(/.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)))))
41.5%
(/.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 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
96.5%
(/.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)))))
99.3%
(/.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 (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 binary32))))
48.0%
(/.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 #s(literal 2 binary32) (*.f32 (PI.f32) u1))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
97.7%
(/.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 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
92.4%
(/.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 #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 binary32))))
▶97.6%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.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)))))))) #s(literal 1 binary32))))
94.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
▶96.7%
(+.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)))))))))
▶35.7%
(+.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))))
94.4%
(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))))))
42.9%
(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 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
97.8%
(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))))))
▶44.4%
(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))))))
98.0%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 u0 (*.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)))))))))
96.9%
(exp.f32 (/.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)))))))))
92.7%
(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 #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)))
✓90.3%
#s(literal 1 binary32)
Compiler

Compiled 1839 to 1235 computations (32.8% saved)

simplify208.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
✓cost-diff0
(/.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)))))
✓cost-diff0
(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))))))
✓cost-diff0
(/.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))))))))
✓cost-diff0
(+.f32 (/.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)))))))) #s(literal 1 binary32))
✓cost-diff0
(sqrt.f32 (+.f32 (/.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)))))))) #s(literal 1 binary32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.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)))))))) #s(literal 1 binary32))))
✓cost-diff0
(*.f32 u0 (*.f32 alphax alphax))
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax)))
✓cost-diff0
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))
✓cost-diff0
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #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))))
✓cost-diff0
(*.f32 u0 (*.f32 alphay alphay))
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay)))
✓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 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
✓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-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))
Rules
3838×*-lowering-*.f32
3838×*-lowering-*.f64
2002×sum4-define
1546×times-frac
1136×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0601385
11571269
24571269
315491263
450801259
086311259
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)) (/ (- 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
(+ 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 (/ (* -1/2 (* u0 (* alphax alphax))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
1
(/ (* -1/2 (* u0 (* alphax alphax))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* -1/2 (* u0 (* alphax alphax)))
-1/2
(* u0 (* alphax alphax))
u0
(* alphax alphax)
alphax
(* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(- 1 u0)
(/ 1 (sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1)))
1
(sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1))
(+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1)
(/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* 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)))))
-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
(sqrt (/ 1 (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(/ 1 (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
1
(+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* u0 (* alphax alphax))
u0
(* alphax alphax)
alphax
(* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(- 1 u0)
Outputs
(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 1/2 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))
(+ 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)))))
(+.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 1/2 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))))))
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))))
(/.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 1/2 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)))))
(/ 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)))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (*.f32 alphax alphax))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 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)))
(/ (/ 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))
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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 1/2 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))
(- 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)
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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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 alphay alphay) (/.f32 (/.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 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 (* (PI) (+ 1/2 (* 2 u1))))) 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 u0 #s(literal -1/2 binary32))))
(- 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 (/ (* -1/2 (* u0 (* alphax alphax))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))))
1
#s(literal 1 binary32)
(/ (* -1/2 (* u0 (* alphax alphax))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))
(* -1/2 (* u0 (* alphax alphax)))
(*.f32 u0 (*.f32 (*.f32 alphax alphax) #s(literal -1/2 binary32)))
-1/2
#s(literal -1/2 binary32)
(* u0 (* alphax alphax))
(*.f32 u0 (*.f32 alphax alphax))
u0
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(/ 1 (sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 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 u0 #s(literal -1/2 binary32))))))))
1
#s(literal 1 binary32)
(sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 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 u0 #s(literal -1/2 binary32)))))))
(+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1)
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(/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(/.f32 (*.f32 u0 (*.f32 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 u0 #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) (cos.f32 (*.f32 #s(literal 2 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 u0 #s(literal -1/2 binary32))))
(- 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))))))
-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
(sqrt (/ 1 (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))))))
(/ 1 (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (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 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))))
1
#s(literal 1 binary32)
(+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))))
(/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphax alphax)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))
(* u0 (* alphax alphax))
(*.f32 u0 (*.f32 alphax alphax))
u0
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(*.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)

localize667.0ms (2.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓accuracy59.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy57.4%
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
✓accuracy99.1%
(*.f32 u0 (*.f32 alphay alphay))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy97.9%
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
✓accuracy59.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓accuracy59.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy57.4%
(cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
✓accuracy99.1%
(*.f32 u0 (*.f32 alphay alphay))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy97.9%
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
✓accuracy59.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy98.8%
(*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))
✓accuracy98.4%
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
✓accuracy97.9%
(-.f32 #s(literal 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)))))))
✓accuracy59.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
Results
408.0ms256×0valid
Compiler

Compiled 1434 to 61 computations (95.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult: 26.0ms (20.9% of total)
ival-div: 25.0ms (20.1% of total)
ival-cos: 22.0ms (17.7% of total)
ival-pow: 14.0ms (11.2% of total)
ival-add: 11.0ms (8.8% of total)
ival-tan: 10.0ms (8% of total)
ival-atan: 7.0ms (5.6% of total)
ival-sub: 3.0ms (2.4% of total)
ival-sqrt: 3.0ms (2.4% of total)
ival-pi: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series227.0ms (0.8%)

Counts
27 → 1032
Calls
Call 1
Inputs
#<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)) (+ (/ (/ 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 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))>
#<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)))>
#<alt (* u0 (* alphay alphay))>
#<alt (+ 1 (/ (* -1/2 (* u0 (* alphax alphax))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))>
#<alt (/ (* -1/2 (* u0 (* alphax alphax))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))>
#<alt (* -1/2 (* u0 (* alphax alphax)))>
#<alt (* u0 (* alphax alphax))>
#<alt (/ 1 (sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1)))>
#<alt (sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1))>
#<alt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1)>
#<alt (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))>
#<alt (sqrt (/ 1 (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))>
#<alt (/ 1 (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))>
#<alt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))>
#<alt (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))>
#<alt (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)>
#<alt (* (PI) (+ 1/2 (* 2 u1)))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
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))))))>
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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))))))>
#<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 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
Calls

258 calls:

TimeVariablePointExpression
26.0ms
u0
@inf
(sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1))
5.0ms
u0
@inf
(/ 1 (sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1)))
5.0ms
u1
@0
(sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1))
4.0ms
alphay
@0
(+ 1 (/ (* -1/2 (* u0 (* alphax alphax))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
3.0ms
u1
@0
(/ (/ 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))))

rewrite373.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
3492×*-lowering-*.f32
3492×*-lowering-*.f64
2368×/-lowering-/.f32
2368×/-lowering-/.f64
2136×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060633
1431533
24752533
08402533
Stop Event
1×iter limit
1×node limit
Counts
27 → 693
Calls
Call 1
Inputs
(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)) (+ (/ (/ 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))
(/ (* -1/2 (* 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)))
(* u0 (* alphay alphay))
(+ 1 (/ (* -1/2 (* u0 (* alphax alphax))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* -1/2 (* u0 (* alphax alphax))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* -1/2 (* u0 (* alphax alphax)))
(* u0 (* alphax alphax))
(/ 1 (sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1)))
(sqrt (+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1))
(+ (/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) 1)
(/ (* u0 (* alphay alphay)) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(sqrt (/ 1 (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(/ 1 (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(* (PI) (+ 1/2 (* 2 u1)))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
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 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)))))))
(exp.f32 (*.f32 (log.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))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 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 #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)))
(exp.f32 (*.f32 (log.f32 (exp.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 (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)) #s(literal 2 binary32))
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(/.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 (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)))))) (-.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 (*.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))))))))) #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 (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))))
(cos.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(exp.f32 (*.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 1 binary32))
(pow.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) #s(literal -1 binary32))
(pow.f32 (/.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(/.f32 #s(literal 1 binary32) (/.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) #s(literal 2 binary32)))
(+.f32 #s(literal 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) (neg.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 #s(literal 1/2 binary32) (*.f32 (neg.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 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 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))
(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 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #s(literal 2 binary32))
(pow.f32 (*.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) (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))
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 1/2 binary32))
(fma.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))
(-.f32 #s(literal 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 (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) (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 1/4 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 1/2 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 1/8 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 1/4 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 1/4 binary32) (cos.f32 (*.f32 #s(literal 2 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 1/8 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 1/4 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 -1/4 binary32) (cos.f32 (*.f32 #s(literal 2 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 (cos.f32 (*.f32 #s(literal 2 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)) #s(literal 2 binary32))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 1 binary32)) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(*.f32 (/.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 (exp.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (exp.f32 (neg.f32 (log.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
(*.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 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)) #s(literal 1/2 binary32))

simplify912.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
5626×*-lowering-*.f32
5626×*-lowering-*.f64
3108×+-lowering-+.f64
3108×+-lowering-+.f32
1964×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0172185018
1634377804
0801277804
Stop Event
1×iter limit
1×node limit
Counts
1032 → 1032
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 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ u0 (* (- 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) (* (- 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)))) 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) (* (- 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)))) (/ (* (pow alphay 4) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 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)))) 2)))))) (pow alphax 6))) (/ u0 (* (- 1 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) (* (- 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 alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (- 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)))) 2)))))) (/ u0 (* (pow alphax 2) (* (- 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)))) 2)))))))
1
(+ 1 (/ (* (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 (/ (* (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))))))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (- (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (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 (- (+ (* 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 (- (+ (* 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 (+ (* u0 (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
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(/ (* (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)))))))))
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)
(* -1/2 (/ (* (pow alphay 2) u0) (+ 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))))))))))
(* 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))))))))))))
(* 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) (+ 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))))))))))))))
(* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(+ (* 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)))))))))
(+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (+ 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))))))))))
(+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 3) (+ 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)))))))))))
(* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(+ (* 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) (* 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))))))))) u0)) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 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))))))))) 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) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* -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) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
(* -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) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
(* -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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1
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1
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(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
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(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
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(* -1/2 (* (pow alphay 2) u0))
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(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
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1
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1
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(* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))
(* -1/2 (* (pow alphax 2) u0))
(* -1/2 (* (pow alphax 2) u0))
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(* -1/2 (* (pow alphax 2) u0))
(* -1/2 (* (pow alphax 2) u0))
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(* -1/2 (* (pow alphax 2) u0))
(* -1/2 (* (pow alphax 2) u0))
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(* -1/2 (* (pow alphax 2) u0))
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(* -1/2 (* (pow alphax 2) u0))
(* -1/2 (* (pow alphax 2) u0))
(* -1/2 (* (pow alphax 2) u0))
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
(* (pow alphax 2) u0)
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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 (* u0 (+ (* -1 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* 1/4 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (/ (pow alphay 2) (+ 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 (* u0 (+ (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (/ (pow alphay 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 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* 1/2 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* 1/4 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (/ (pow alphay 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)))))))) (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))) (* -1/2 (+ (* -1 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* 1/4 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))))))
(sqrt (/ 1 (+ 1 (* -1 (/ (pow alphay 2) (+ 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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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))))))
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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) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 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)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))) (- 1 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)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 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)))
1
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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(sqrt (/ 1 (+ 1 (* -1 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
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1
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) alphax) (sqrt (/ (- 1 u0) u0)))
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1
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(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
Outputs
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)))))))
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(+ 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 #s(literal -1/2 binary32) (/.f32 (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 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(/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (*.f32 u0 (*.f32 alphay alphay)) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (-.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))) (/.f32 (*.f32 (*.f32 u0 (*.f32 alphay alphay)) (-.f32 (/.f32 #s(literal 1 binary32) (*.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 (/.f32 (*.f32 #s(literal -1 binary32) (*.f32 u0 (pow.f32 (sin.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32))))) (/.f32 (*.f32 u0 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.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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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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#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u0)))
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(* -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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(* 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))))))))))))
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(* 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) (+ 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))))))))))))))
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(* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(+ (* 1/2 (/ (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)))))))))
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(+ (* 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) (* (pow u0 2) (+ 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))))))))))
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(+ (* 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) (* (pow u0 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 3) (+ 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)))))))))))
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(* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(+ (* 1/2 (/ (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)))))))))
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(+ (* -1 (/ (+ (* -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))))))))) u0)) (* 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
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(* -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)))))
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(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* 1/2 (* (/ 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 (+ (* 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)))))))))
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(* 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)))))))))
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(* -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) (* 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)))))))))
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(- (+ (* -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))))))))))
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(* -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) (* 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) (* 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)))))))))
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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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(/ (* (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 (+ 1 (* -1 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
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(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.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))

eval314.0ms (1.1%)

Compiler

Compiled 157725 to 6850 computations (95.7% saved)

prune261.0ms (0.9%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New2274162290
Fresh9817
Picked325
Done011
Total2286272313
Accuracy
100.0%
Counts
2313 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(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))
✓99.8%
(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 (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))
48.0%
(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 (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))
▶98.2%
(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 (-.f32 #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))
92.7%
(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))
95.4%
(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 (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))
▶96.7%
(/.f32 #s(literal 1 binary32) (+.f32 (/.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))))) #s(literal 1 binary32)))
43.1%
(/.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)))))
94.1%
(/.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)))))
94.1%
(/.f32 #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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
96.5%
(/.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)))))
97.7%
(/.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 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
92.4%
(/.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 #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 binary32))))
▶94.0%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32))))
97.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.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 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))) #s(literal 1 binary32))))
35.6%
(+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alphax (*.f32 u0 alphax)) (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))) #s(literal 1 binary32))
94.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓96.7%
(+.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)))))))))
29.9%
(+.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 2 binary32) (*.f32 (PI.f32) u1)))) alphax)))))))))
▶96.5%
(+.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 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
35.8%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
29.0%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.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 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
96.0%
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
94.4%
(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))))))
44.5%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
✓90.3%
#s(literal 1 binary32)
Compiler

Compiled 2110 to 1413 computations (33% saved)

simplify219.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 20 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 #s(literal 1/2 binary32) (PI.f32))) (/.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 #s(literal 1/2 binary32) (PI.f32))) (/.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 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
✓cost-diff0
(/.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))
✓cost-diff0
(+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32))
✓cost-diff0
(sqrt.f32 (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32))))
✓cost-diff0
(*.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))))
✓cost-diff0
(/.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)))))
✓cost-diff0
(+.f32 (/.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))))) #s(literal 1 binary32))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (+.f32 (/.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))))) #s(literal 1 binary32)))
✓cost-diff0
(*.f32 u0 (*.f32 alphay alphay))
✓cost-diff0
(*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay)))
✓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-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 #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
3812×*-lowering-*.f32
3812×*-lowering-*.f64
1378×/-lowering-/.f32
1378×/-lowering-/.f64
1206×fnmadd-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0761483
11761378
24581366
313761366
449961362
083511362
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
(/ 1 (+ (/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))) 1))
1
(+ (/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))) 1)
(/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay)))))
1/2
(* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))
(+ 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))))) -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
alphay
-1/2
(/ (- 1 u0) (* u0 (* alphay alphay)))
(- 1 u0)
u0
(* u0 (* alphay alphay))
(* alphay alphay)
(/ 1 (sqrt (+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1)))
1
(sqrt (+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1))
(+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1)
(/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(+ 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
(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 (* 1/2 (PI))) (/ 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 (* 1/2 (PI))) (/ 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 (* 1/2 (PI))) (/ 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 (* 1/2 (PI))) (/ 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 (* 1/2 (PI))) (/ alphax alphay))))))) (* alphay alphay))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* 1/2 (PI))) (/ alphax alphay)))))))
(* 1/2 (cos (* 2 (atan (/ (tan (* 1/2 (PI))) (/ alphax alphay))))))
(cos (* 2 (atan (/ (tan (* 1/2 (PI))) (/ alphax alphay)))))
(* 2 (atan (/ (tan (* 1/2 (PI))) (/ alphax alphay))))
(atan (/ (tan (* 1/2 (PI))) (/ alphax alphay)))
(/ (tan (* 1/2 (PI))) (/ alphax alphay))
(tan (* 1/2 (PI)))
(* 1/2 (PI))
(* alphay alphay)
-1/2
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 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (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 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (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 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (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 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay)))
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))
(/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
(/ (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 (*.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) #s(literal 1/2 binary32))) (/.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 (* 1/2 (PI)))) 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) #s(literal 1/2 binary32))) (/.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 (* 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 alphax alphay))))))))
(- 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 alphax alphay)))))))
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 alphax alphay))))))
(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 alphax alphay)))))
(* 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 alphax alphay))))
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 alphax alphay)))
(/ (* alphay (tan (* 1/2 (PI)))) alphax)
(/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))
(* 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
(/ 1 (+ (/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))) 1))
(/.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 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphay alphay))))))
1
#s(literal 1 binary32)
(+ (/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))) 1)
(+.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 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphay alphay)))))
(/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay)))))
(/.f32 #s(literal 1/2 binary32) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) u0) #s(literal -1 binary32)) (*.f32 alphay alphay))))
1/2
#s(literal 1/2 binary32)
(* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))
(*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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) u0) #s(literal -1 binary32)) (*.f32 alphay alphay)))
(+ 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)))))))
(* (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
alphay
-1/2
#s(literal -1/2 binary32)
(/ (- 1 u0) (* u0 (* alphay alphay)))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32)) (*.f32 alphay alphay))
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
u0
(* u0 (* alphay alphay))
(*.f32 u0 (*.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
(/ 1 (sqrt (+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.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 (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)
(sqrt (+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1)
(+.f32 #s(literal 1 binary32) (/.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/.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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(* u0 (* alphay alphay))
(*.f32 u0 (*.f32 alphay alphay))
u0
(* alphay alphay)
(*.f32 alphay alphay)
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
(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 (* 1/2 (PI))) (/ alphax alphay))))))) (* 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 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) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))))) (*.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 (* 1/2 (PI))) (/ alphax alphay))))))) (* alphay alphay)))))
(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #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)))))
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 (* 1/2 (PI))) (/ alphax alphay))))))) (* alphay alphay))))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #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))))
(/ 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 (* 1/2 (PI))) (/ alphax alphay))))))) (* alphay alphay)))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #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)))
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))
(/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))
(/ (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 (* 1/2 (PI))) (/ alphax alphay))))))) (* alphay alphay))
(/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* 1/2 (PI))) (/ 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) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))))))
(* 1/2 (cos (* 2 (atan (/ (tan (* 1/2 (PI))) (/ alphax alphay))))))
(*.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))))))
(cos (* 2 (atan (/ (tan (* 1/2 (PI))) (/ alphax alphay)))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (tan (* 1/2 (PI))) (/ alphax alphay))))
(*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))
(atan (/ (tan (* 1/2 (PI))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))
(/ (tan (* 1/2 (PI))) (/ alphax alphay))
(/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))
(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))
(* alphay alphay)
(*.f32 alphay alphay)
-1/2
#s(literal -1/2 binary32)

localize3.4s (11.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
✓accuracy100.0%
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay)))))
✓accuracy100.0%
(atan.f32 (/.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay)))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(sqrt.f32 (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32)))
✓accuracy100.0%
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))
✓accuracy100.0%
(atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
✓accuracy6.3%
(PI.f32)
✓accuracy100.0%
(tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))
✓accuracy100.0%
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
✓accuracy100.0%
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
✓accuracy6.3%
(PI.f32)
✓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
3.0s256×5exit
Compiler

Compiled 1545 to 77 computations (95% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.6s
backward-pass: 381.0ms (23.4% of total)
ival-cos: 294.0ms (18.1% of total)
ival-mult: 251.0ms (15.4% of total)
ival-div: 205.0ms (12.6% of total)
ival-pow: 157.0ms (9.7% of total)
ival-tan: 105.0ms (6.5% of total)
ival-add: 96.0ms (5.9% of total)
ival-atan: 54.0ms (3.3% of total)
ival-sin: 45.0ms (2.8% of total)
ival-sub: 19.0ms (1.2% of total)
ival-sqrt: 10.0ms (0.6% of total)
ival-pi: 7.0ms (0.4% of total)
const: 3.0ms (0.2% of total)

series549.0ms (1.9%)

Counts
31 → 1092
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 (/ (* -1/2 (* u0 (* alphay alphay))) (* (- 1 u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))>
#<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)))>
#<alt (* u0 (* alphay alphay))>
#<alt (/ 1 (+ (/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))) 1))>
#<alt (+ (/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))) 1)>
#<alt (/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay)))))>
#<alt (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))>
#<alt (/ 1 (sqrt (+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1)))>
#<alt (sqrt (+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1))>
#<alt (+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1)>
#<alt (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))>
#<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 (* 1/2 (PI))) (/ 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 (* 1/2 (PI))) (/ 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 (* 1/2 (PI))) (/ alphax alphay))))))) (* 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 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (atan (/ (tan (* 1/2 (PI))) (/ alphax alphay)))>
#<alt (cos (* 2 (atan (/ (tan (* 1/2 (PI))) (/ 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))))))))))>
#<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)))))))) (* 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) (+ 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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 (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 (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 (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 (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 (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 (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 (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (atan (/ (* alphay (tan (* (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))))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (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 (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 (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 (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 (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 (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 (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 (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))))>
Calls

273 calls:

TimeVariablePointExpression
102.0ms
alphax
@-inf
(+ 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)))))
34.0ms
u1
@0
(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 (* 1/2 (PI))) (/ alphax alphay))))))) (* alphay alphay))))) -1/2)
26.0ms
u1
@0
(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)
23.0ms
alphay
@0
(* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))
18.0ms
alphay
@-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)

rewrite352.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
3304×*-lowering-*.f32
3304×*-lowering-*.f64
2896×/-lowering-/.f32
2896×/-lowering-/.f64
2292×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
076721
1517650
25761647
08006647
Stop Event
1×iter limit
1×node limit
Counts
31 → 529
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))
(/ (* -1/2 (* 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)))
(* u0 (* alphay alphay))
(/ 1 (+ (/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))) 1))
(+ (/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))) 1)
(/ 1/2 (* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay)))))
(* (+ 1/2 (* (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))) -1/2)) (/ (- 1 u0) (* u0 (* alphay alphay))))
(/ 1 (sqrt (+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1)))
(sqrt (+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1))
(+ (/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) 1)
(/ (* u0 (* alphay alphay)) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(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 (* 1/2 (PI))) (/ 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 (* 1/2 (PI))) (/ 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 (* 1/2 (PI))) (/ alphax 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)))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(atan (/ (tan (* 1/2 (PI))) (/ alphax alphay)))
(cos (* 2 (atan (/ (tan (* 1/2 (PI))) (/ alphax alphay)))))
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 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)))))))
(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 (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)) #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 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 #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 (exp.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 (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 #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)))))
(+.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))
(fma.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 binary32))
(fma.f32 u0 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u0)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 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 (/.f32 #s(literal 1 binary32) (-.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))
(fma.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 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 (/.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) #s(literal 1 binary32))
(fma.f32 (/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 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 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 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 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (*.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.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 alphax 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)))))))))) (*.f32 alphax (*.f32 alphax (*.f32 alphay alphay))) #s(literal 1 binary32))
(fma.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.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)))) #s(literal 3 binary32)) (pow.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 alphay alphay)) #s(literal 3 binary32)))) (+.f32 (pow.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)))) #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 alphay alphay)) (-.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 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))))) #s(literal 1 binary32))
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(fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (-.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (+.f32 (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)))))))) (-.f32 #s(literal 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))))))
(neg.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (-.f32 #s(literal 0 binary32) (/.f32 alphax alphay)))))
(neg.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 alphax))))
(neg.f32 (atan.f32 (/.f32 (neg.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphax alphay))))
(neg.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (neg.f32 alphay)) alphax)))
(atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))))
(+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) (+.f32 (*.f32 (neg.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))))))))
(+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))))))))
(+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))) (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))) (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))) (*.f32 (neg.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))))
(fma.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 alphax alphay)))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) (-.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) (+.f32 (*.f32 (neg.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))))))))
(fma.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (neg.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))))))))
(fma.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) #s(literal 1 binary32)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))))
(-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))))))) (*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))))))) (+.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.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) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))))))))
(*.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 alphax alphay)))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))) (-.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay)))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphax alphay))))))

simplify1.5s (5.3%)

Algorithm
1×egg-herbie
Rules
7268×*-lowering-*.f32
7268×*-lowering-*.f64
3374×+-lowering-+.f64
3374×+-lowering-+.f32
2518×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02122117311
17787107584
08665107584
Stop Event
1×iter limit
1×node limit
Counts
1092 → 1092
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))))))))
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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))))
(- (+ (* -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)))))
(- (+ (* -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)
(* -1/2 (/ (* (pow alphay 2) u0) (+ 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))))))))))
(* 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))))))))))))
(* 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))))))))))))))
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1
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1
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1
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1
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1
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(/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (* (pow alphay 2) u0))
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1
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1
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(* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))
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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 (+ (* -1/8 (/ (* (pow alphay 4) u0) (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 (+ (* -1/8 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (* 1/16 (/ (* (pow alphay 6) u0) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))))))
(* alphay (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* u0 (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* alphay (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))
(* u0 (+ (* -1/8 (* (/ 1 (pow alphay 3)) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow u0 5))))) (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* alphay (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))))
(* u0 (+ (* -1/8 (* (/ 1 (pow alphay 3)) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow u0 5))))) (+ (* 1/16 (* (/ 1 (pow alphay 5)) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 5) (pow u0 7))))) (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* alphay (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))))
(* -1 (* (* alphay (pow (sqrt -1) 2)) (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(* -1 (* u0 (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* (* alphay (pow (sqrt -1) 2)) (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))))
(* -1 (* u0 (+ (* -1/8 (* (/ 1 (* (pow alphay 3) (pow (sqrt -1) 2))) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow u0 5))))) (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* (* alphay (pow (sqrt -1) 2)) (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))))
(* -1 (* u0 (+ (* -1/8 (* (/ 1 (* (pow alphay 3) (pow (sqrt -1) 2))) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow u0 5))))) (+ (* 1/16 (* (/ 1 (* (pow alphay 5) (pow (sqrt -1) 4))) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 5) (pow u0 7))))) (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* (* alphay (pow (sqrt -1) 2)) (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))))))
1
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 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))) (* 1/2 (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* (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))) (* 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))))))))
(* alphay (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))))))
(* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (+ (* -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 u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))))))
(* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (+ (* -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 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 u0 5))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))))))))
(* -1 (* alphay (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (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)))))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))))))
(* -1 (* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (+ (* -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 u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))))))))
(* -1 (* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (+ (* -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 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 u0 5))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 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) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* u0 (+ (/ 1 u0) (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* u0 (+ (/ 1 u0) (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* u0 (+ (/ 1 u0) (/ (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)))))))
(* -1 (* u0 (- (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ 1 u0))))
(* -1 (* u0 (- (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ 1 u0))))
(* -1 (* u0 (- (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ 1 u0))))
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) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 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) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 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)))))))))
(* (pow alphay 2) (+ (/ 1 (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 (+ 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) (+ (/ 1 (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 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 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 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 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) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 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) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 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) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))))))
(+ 1 (/ (* (pow alphay 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 (* -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) u0) (+ 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) u0) (+ 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) u0) (+ 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) u0) (+ 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) u0) (+ 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)))))))
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(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) alphax)))) (pow alphay 2)))))
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(/ -1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (pow alphay 2)))))
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(/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))) (pow alphay 2))))))
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(/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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 (* 1/2 (PI)))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))))
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(* (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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) alphax)))))) 3) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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))))
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(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))))
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(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))
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(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))
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(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
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(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
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(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
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(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))
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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))))
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(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))))
(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))))
Outputs
1
#s(literal 1 binary32)
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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)))
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(* (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)))))
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(* (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 (neg.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 #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 (-.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 (/.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 #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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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)
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(- (* -1 (/ (+ 1 (/ 1 u0)) u0)) 1)
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#s(literal -1 binary32)
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(+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) u0) #s(literal -1 binary32))) u0) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (+ (/ 1 u0) (/ 1 (pow u0 2)))) u0)) 1)
(+.f32 (neg.f32 (/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u0)) (/.f32 #s(literal 1 binary32) (*.f32 u0 u0))) u0)) #s(literal -1 binary32))
(* -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))))))))))
(+.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 #s(literal 1/2 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) #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) (* (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))))))) (neg.f32 (/.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))))))) (neg.f32 (/.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))))))) (neg.f32 (/.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))))))))
(* -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))))))))
(* -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))))))))
(* -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))))))))
(* -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)))))) (- 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)))))) (- 1 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 (* 1/2 (PI)))) alphax)))))))))
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(+ 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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(+ 1 (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
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(+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))
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(+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (+ (* 1/2 (/ (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 (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
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(+ 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))))))))))
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(+ 1 (+ (* -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))))))))))
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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)))))) (- 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 (* u0 (+ (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* u0 (+ (* -1/8 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (* 1/16 (/ (* (pow alphay 6) u0) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))))))
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(* alphay (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(* u0 (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* alphay (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))
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(* u0 (+ (* -1/8 (* (/ 1 (pow alphay 3)) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow u0 5))))) (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* alphay (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))))
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(* u0 (+ (* -1/8 (* (/ 1 (pow alphay 3)) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow u0 5))))) (+ (* 1/16 (* (/ 1 (pow alphay 5)) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 5) (pow u0 7))))) (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* alphay (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))))
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(* -1 (* (* alphay (pow (sqrt -1) 2)) (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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(* -1 (* u0 (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* (* alphay (pow (sqrt -1) 2)) (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))))
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(* -1 (* u0 (+ (* -1/8 (* (/ 1 (* (pow alphay 3) (pow (sqrt -1) 2))) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow u0 5))))) (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* (* alphay (pow (sqrt -1) 2)) (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))))
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(* -1 (* u0 (+ (* -1/8 (* (/ 1 (* (pow alphay 3) (pow (sqrt -1) 2))) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow u0 5))))) (+ (* 1/16 (* (/ 1 (* (pow alphay 5) (pow (sqrt -1) 4))) (sqrt (/ (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 5) (pow u0 7))))) (+ (* 1/2 (* (/ 1 alphay) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (pow u0 3))))) (* (* alphay (pow (sqrt -1) 2)) (sqrt (/ 1 (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))))))))
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1
#s(literal 1 binary32)
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(* alphay (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))))))
(*.f32 alphay (+.f32 (sqrt.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 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (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)))))) u0)))))
(* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (+ (* -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 u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))))))
(*.f32 alphay (+.f32 (sqrt.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 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (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)))))) u0))) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alphay #s(literal 4 binary32)))) (sqrt.f32 (/.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 u0 (*.f32 u0 u0))))))))
(* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (+ (* -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 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 u0 5))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))))))))
(*.f32 alphay (+.f32 (+.f32 (sqrt.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 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alphay #s(literal 4 binary32)))) (sqrt.f32 (/.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 u0 (*.f32 u0 u0)))))) (+.f32 (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (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)))))) u0))) (*.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alphay #s(literal 6 binary32)))) (sqrt.f32 (/.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 5 binary32)) (pow.f32 u0 #s(literal 5 binary32))))))))
(* -1 (* alphay (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(*.f32 (*.f32 #s(literal -1 binary32) alphay) (sqrt.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)))))))))
(* -1 (* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))))))
(*.f32 (*.f32 #s(literal -1 binary32) alphay) (+.f32 (sqrt.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 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (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)))))) u0)))))
(* -1 (* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (+ (* -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 u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0))))))))
(*.f32 (*.f32 #s(literal -1 binary32) alphay) (+.f32 (sqrt.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 (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)) (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)))))) u0))) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alphay #s(literal 4 binary32)))) (sqrt.f32 (/.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 u0 (*.f32 u0 u0))))))))
(* -1 (* alphay (+ (sqrt (/ u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (+ (* -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 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 u0 5))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) u0)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(sqrt (+ 1 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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1
#s(literal 1 binary32)
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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 (* 1/2 (PI)))) alphax))))))))
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(* (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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) alphax)))))) 2))))))))
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) alphax)))))) 2))))))))
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(/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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) #s(literal 1/2 binary32)))) 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 (* 1/2 (PI)))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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) #s(literal 1/2 binary32)))) 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) #s(literal 1/2 binary32)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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) #s(literal 1/2 binary32)))) 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) #s(literal 1/2 binary32)))) 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 (*.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) #s(literal 1/2 binary32)))) alphax)))))) #s(literal 3 binary32))))))) (/.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) #s(literal 1/2 binary32)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) alphax)))))) 3) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) 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 (* 1/2 (PI)))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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) #s(literal 1/2 binary32)))) alphax)))))))) (*.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 (-.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 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(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))

eval362.0ms (1.3%)

Compiler

Compiled 178108 to 6229 computations (96.5% saved)

prune222.0ms (0.8%)

Pruning

33 alts after pruning (25 fresh and 8 done)

PrunedKeptTotal
New194581953
Fresh21719
Picked055
Done033
Total1947331980
Accuracy
100.0%
Counts
1980 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(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))
✓99.8%
(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 (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))
48.0%
(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 (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))
✓98.2%
(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 (-.f32 #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))
92.7%
(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))
97.8%
(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 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))) #s(literal -1/2 binary32))
95.4%
(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 (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))
94.4%
(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 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
94.1%
(/.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 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32)))
✓96.7%
(/.f32 #s(literal 1 binary32) (+.f32 (/.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))))) #s(literal 1 binary32)))
43.1%
(/.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)))))
94.1%
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)))))
96.5%
(/.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)))))
96.3%
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
97.7%
(/.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 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
92.4%
(/.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 #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 binary32))))
✓94.0%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32))))
97.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.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 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))) #s(literal 1 binary32))))
35.6%
(+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alphax (*.f32 u0 alphax)) (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))) #s(literal 1 binary32))
94.4%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
94.3%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
✓96.7%
(+.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)))))))))
29.9%
(+.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 2 binary32) (*.f32 (PI.f32) u1)))) alphax)))))))))
✓96.5%
(+.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 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
35.8%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
29.0%
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.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 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
95.5%
(+.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)))))))))))
96.0%
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
95.8%
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 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))))))))))
94.4%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
44.5%
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
✓90.3%
#s(literal 1 binary32)
Compiler

Compiled 3616 to 1237 computations (65.8% saved)

regimes238.0ms (0.8%)

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))))))))
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(/.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)))))
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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))
(/.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 #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 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 #s(literal 2 binary32) (*.f32 (PI.f32) 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 (-.f32 #s(literal 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))
(/.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 (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 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 #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)))
(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 (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))
(/.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
(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

13 calls:

40.0ms
(/.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))))
17.0ms
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
17.0ms
u1
15.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
15.0ms
alphay
Results
AccuracySegmentsBranch
99.9%1u0
99.9%1u1
99.9%1alphax
99.9%1alphay
99.9%1(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.9%1(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.9%1(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.9%1(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.9%1(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))))
99.9%1(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))
99.9%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
99.9%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
99.9%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes73.0ms (0.3%)

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))))))))
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(/.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)))))
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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))
(/.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 #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 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 #s(literal 2 binary32) (*.f32 (PI.f32) 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 (-.f32 #s(literal 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:

15.0ms
alphax
14.0ms
alphay
13.0ms
u0
13.0ms
u1
Results
AccuracySegmentsBranch
99.8%1u0
99.8%1u1
99.8%1alphax
99.8%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes109.0ms (0.4%)

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

4 calls:

36.0ms
u0
35.0ms
u1
13.0ms
alphay
13.0ms
alphax
Results
AccuracySegmentsBranch
98.2%1u0
98.2%1u1
98.2%1alphax
98.2%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes57.0ms (0.2%)

Counts
41 → 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 #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 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+.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 2 binary32) (*.f32 (PI.f32) u1)))) alphax)))))))))
(+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alphax (*.f32 u0 alphax)) (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.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 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 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 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.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 binary32)) #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 (-.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 (/.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))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(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 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.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 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 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)))))
(exp.f32 (/.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)))))))))
(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) (sqrt.f32 (+.f32 (/.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)))))))) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u0) (/.f32 (*.f32 u0 (*.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)))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))))
(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 alphay alphay)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
(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 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 #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 (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
(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:

13.0ms
u0
11.0ms
alphax
11.0ms
alphay
11.0ms
u1
Results
AccuracySegmentsBranch
98.0%1alphax
98.0%1alphay
98.0%1u0
98.0%1u1
Compiler

Compiled 20 to 16 computations (20% saved)

regimes41.0ms (0.1%)

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 #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 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))
(+.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 2 binary32) (*.f32 (PI.f32) u1)))) alphax)))))))))
(+.f32 (/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alphax (*.f32 u0 alphax)) (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))
(/.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 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 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 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (*.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 binary32)) #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 (-.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 (/.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))))) #s(literal 1 binary32)))
(*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 alphay alphay) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (*.f32 #s(literal 1/2 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphax alphax))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (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 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1)))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
(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 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.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 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 u0 (*.f32 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)))))
(exp.f32 (/.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
(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 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))) #s(literal -1/2 binary32))
Calls

4 calls:

10.0ms
u0
9.0ms
alphax
8.0ms
alphay
8.0ms
u1
Results
AccuracySegmentsBranch
97.8%1alphax
97.8%1alphay
97.8%1u0
97.8%1u1
Compiler

Compiled 20 to 16 computations (20% saved)

regimes30.0ms (0.1%)

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

4 calls:

8.0ms
alphay
7.0ms
alphax
6.0ms
u1
6.0ms
u0
Results
AccuracySegmentsBranch
96.7%1alphax
96.7%1u0
96.7%1u1
96.7%1alphay
Compiler

Compiled 20 to 16 computations (20% saved)

regimes18.0ms (0.1%)

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

4 calls:

6.0ms
alphax
3.0ms
u1
3.0ms
u0
3.0ms
alphay
Results
AccuracySegmentsBranch
96.5%1u0
96.5%1alphax
96.5%1alphay
96.5%1u1
Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (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:

3.0ms
alphax
2.0ms
u1
2.0ms
alphay
2.0ms
u0
Results
AccuracySegmentsBranch
94.3%1alphax
94.3%1u0
94.3%1u1
94.3%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
alphay
1.0ms
alphax
1.0ms
u0
1.0ms
u1
Results
AccuracySegmentsBranch
90.3%1u0
90.3%1alphay
90.3%1u1
90.3%1alphax
Compiler

Compiled 20 to 16 computations (20% saved)

simplify15.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
096318
1149318
2171318
3183318
4191318
5193318
Stop Event
1×saturated
Calls
Call 1
Inputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.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 (*.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 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))))))))) #s(literal -1/2 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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (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 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))
#s(literal 1 binary32)
Outputs
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.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))
(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))
(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 (*.f32 alphay (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphax))))))))) #s(literal -1/2 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) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (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 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay) 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 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 u0 (*.f32 alphay alphay))) (*.f32 (-.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)))))))))
(+.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)

soundness4.8s (16.9%)

Rules
7836×*-lowering-*.f32
7836×*-lowering-*.f64
7268×*-lowering-*.f32
7268×*-lowering-*.f64
7208×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073829738
1266024837
0919824837
02122117311
17787107584
08665107584
053631
1363542
23765542
08197542
060633
1431533
24752533
08402533
02111159932
17782146754
08030146754
03249
17246
212144
318142
429542
595342
6354742
7736042
0805042
030280
1197208
21822204
08889204
0172185018
1634377804
0801277804
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 574 to 252 computations (56.1% saved)

preprocess82.0ms (0.3%)

Compiler

Compiled 828 to 236 computations (71.5% saved)

end0.0ms (0%)

Profiling

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