Metrics for Trowbridge-Reitz Sample, sample surface normal, cosTheta

analyze1.6s (5.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
6.2%	0%	0%	100%	0%	0%	0%	7
9.4%	0%	0%	100%	0%	0%	0%	8
14.1%	0%	0%	100%	0%	0%	0%	9
21.1%	0%	0%	100%	0%	0%	0%	10
31.6%	0%	0%	100%	0%	0%	0%	11
36.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 123 to 49 computations (60.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 260.0ms (21.6% of total)

ival-tan: 134.0ms (11.1% of total)

ival-div: 133.0ms (11% of total)

ival-cos: 130.0ms (10.8% of total)

ival-<=: 127.0ms (10.5% of total)

...c/correct-round.rkt:119:19: 115.0ms (9.5% of total)

ival-sin: 113.0ms (9.4% of total)

ival-add: 56.0ms (4.6% of total)

ival-atan: 45.0ms (3.7% of total)

ival-sqrt: 25.0ms (2.1% of total)

ival-sub: 23.0ms (1.9% of total)

ival-and: 21.0ms (1.7% of total)

ival-pi: 17.0ms (1.4% of total)

const: 5.0ms (0.4% of total)

backward-pass: 1.0ms (0.1% of total)

sample4.7s (16.7%)

Results

4.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 3.6s

ival-mult: 868.0ms (24.1% of total)

ival-div: 446.0ms (12.4% of total)

ival-tan: 378.0ms (10.5% of total)

ival-sin: 349.0ms (9.7% of total)

ival-<=: 349.0ms (9.7% of total)

...c/correct-round.rkt:119:19: 331.0ms (9.2% of total)

ival-cos: 303.0ms (8.4% of total)

ival-add: 195.0ms (5.4% of total)

ival-atan: 145.0ms (4% of total)

ival-sqrt: 82.0ms (2.3% of total)

ival-and: 56.0ms (1.6% of total)

ival-sub: 45.0ms (1.2% of total)

ival-pi: 36.0ms (1% of total)

const: 14.0ms (0.4% of total)

backward-pass: 4.0ms (0.1% of total)

Bogosity

preprocess229.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

2220×	`-lowering-.f32`
2220×	`-lowering-.f64`
1452×	`sum4-define`
1212×	`sum5-define`
1162×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	1247
1	536	1207
2	1144	1145
3	3520	1085
4	7429	1085
0	32	81
1	68	79
2	115	75
3	175	71
4	289	71
5	952	71
6	4331	71
0	8027	71

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 (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 (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)) (fma (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (* alphay alphay)) (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (* alphax alphax)))))))
(/ 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 (fma (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (* alphay alphay)) (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (* alphax alphax))))) (/ 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)) (fma (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) (* alphay alphay)) (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) (* alphax alphax)))))))
(/ 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 (fma (recip (fma (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (* alphax alphax)) (* (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (* alphay alphay))))) (/ u0 (- 1 u0)) 1))
(/ 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 (fma (recip (fma (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (* alphax alphax)) (* (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (* alphay alphay))))) (/ u0 (- 1 u0)) 1))
(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 (fma (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (* alphay alphay)) (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u1 1/2)))))) (* alphax alphax))))) (/ 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)) (fma (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) (* alphay alphay)) (* (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma u1 -2 1/2)))))) (* alphax alphax))))))))
(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 (fma (recip (fma (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (* alphax alphax)) (* (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (* alphay alphay))))) (/ u0 (- 1 u0)) 1)))
(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 (fma (recip (fma (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (* alphax alphax)) (* (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay (neg alphax))))) (* alphay alphay))))) (/ u0 (- 1 u0)) 1)))
(/ 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 (* (fma (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u0 1/2)))))) (/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u0 1/2)))))) (* alphax alphax)) (* (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u0 1/2)))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (fma 2 u0 1/2)))))) (* alphay alphay)))) (- 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)))))
(rsqrt (+ 1 (/ (/ alphax (- 1 alphax)) (fma (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay u0)))) (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay u0)))) (* u0 u0)) (* (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay u0)))) (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphay u0)))) (* alphay alphay)))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ u0 alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* u0 u0)))) alphay) (- 1 alphay)))))
(rsqrt (+ 1 (/ (/ alphay (- 1 alphay)) (fma (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ u0 alphax)))) (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ u0 alphax)))) (* alphax alphax)) (* (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ u0 alphax)))) (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ u0 alphax)))) (* u0 u0)))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (cos (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* u1 u1)) (/ (* (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI))))))) (sin (atan (* (/ alphay u1) (tan (+ (* (* 2 (PI)) alphax) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (fma (cos (atan (* (/ alphay u1) (tan (* (PI) (fma alphax 2 1/2)))))) (/ (cos (atan (* (/ alphay u1) (tan (* (PI) (fma alphax 2 1/2)))))) (* u1 u1)) (* (sin (atan (* (/ alphay u1) (tan (* (PI) (fma alphax 2 1/2)))))) (/ (sin (atan (* (/ alphay u1) (tan (* (PI) (fma alphax 2 1/2)))))) (* alphay alphay)))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI))))))) (cos (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI))))))) (sin (atan (* (/ u1 alphax) (tan (+ (* (* 2 (PI)) alphay) (* 1/2 (PI)))))))) (* u1 u1)))) u0) (- 1 u0)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (fma (cos (atan (* (/ u1 alphax) (tan (* (PI) (fma alphay 2 1/2)))))) (/ (cos (atan (* (/ u1 alphax) (tan (* (PI) (fma alphay 2 1/2)))))) (* alphax alphax)) (* (sin (atan (* (/ u1 alphax) (tan (* (PI) (fma alphay 2 1/2)))))) (/ (sin (atan (* (/ u1 alphax) (tan (* (PI) (fma alphay 2 1/2)))))) (* u1 u1)))))))
(/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (/ (* (sin (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphax alphay) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)))) u0) (- 1 u0)))))
(rsqrt (+ 1 (/ (/ u0 (- 1 u0)) (fma (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphax alphay)))) (/ (cos (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphax alphay)))) (* alphay alphay)) (* (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphax alphay)))) (/ (sin (atan (* (tan (* (PI) (fma 2 u1 1/2))) (/ alphax alphay)))) (* alphax alphax)))))))

explain513.0ms (1.8%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
194	3	(2.1078442102862027e-7 0.002906016306951642 0.0004368388035800308 0.16217081248760223)	11	(1.1468010541193507e-7 5.138236929269624e-7 0.8745418190956116 0.00011448699660832062)	`(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`
193	2	(4.46574849775061e-5 0.0002376595075475052 0.1556766927242279 0.00015354073548223823)	12	(1.720105502478475e-9 0.002306878101080656 0.0003683375252876431 0.923940122127533)	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
0	0	-	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))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`
0	0	-	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)))
0	0	-	0	-	`alphay`
0	0	-	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)))))`
0	0	-	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)))
0	0	-	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))`
0	0	-	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))
0	0	-	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))))))`
0	0	-	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)
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(*.f32 alphay alphay)`
0	0	-	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)))))))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
0	0	-	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))))))))`
0	0	-	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)))))
0	0	-	0	-	`u0`
0	0	-	0	-	`alphax`
0	0	-	0	-	`u1`
0	0	-	0	-	`(*.f32 #s(literal 1/2 binary32) (PI.f32))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u0)`
0	0	-	0	-	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
0	0	-	0	-	`#s(literal 1/2 binary32)`
0	0	-	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))))
0	0	-	0	-	`(/.f32 alphay alphax)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(PI.f32)`
0	0	-	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))))
0	0	-	0	-	`(*.f32 alphax alphax)`
0	0	-	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

247.0ms

512×

valid

Compiler

Compiled 1750 to 98 computations (94.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 167.0ms

ival-tan: 41.0ms (24.6% of total)

ival-mult: 32.0ms (19.2% of total)

ival-div: 29.0ms (17.4% of total)

ival-sin: 21.0ms (12.6% of total)

ival-cos: 17.0ms (10.2% of total)

ival-add: 8.0ms (4.8% of total)

ival-atan: 7.0ms (4.2% of total)

ival-sqrt: 4.0ms (2.4% of total)

ival-sub: 3.0ms (1.8% of total)

ival-pi: 2.0ms (1.2% of total)

const: 1.0ms (0.6% of total)

backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler: Compiled 82 to 30 computations (63.4% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (.f32 (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 (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))))))))

Status

Accuracy

Program

▶

99.4%

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (*.f32 (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 (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)

simplify196.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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))))))) (/.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))))))) (.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-diff	(+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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))))))) (/.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))))))) (.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-diff	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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))))))) (/.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))))))) (.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-diff	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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))))))) (/.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))))))) (.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: 1 (0.0ms)

Iter	Nodes	Cost
0	30	565
1	63	532
2	112	532
3	169	532
4	511	532
5	1696	532
6	5600	532
0	8088	532

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)))))))
(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
(/ (cos (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphax alphax))
(* alphax alphax)
(* (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay)))
(sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))))
(/ (sin (atan (* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1))))))) (* alphay alphay))
(* alphay alphay)

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

localize160.0ms (0.6%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
✓	accuracy	98.7%	(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
✓	accuracy	61.5%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	59.4%	(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

105.0ms

256×

valid

Compiler

Compiled 577 to 31 computations (94.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 12.0ms (18.5% of total)

ival-div: 11.0ms (16.9% of total)

ival-tan: 9.0ms (13.8% of total)

ival-cos: 9.0ms (13.8% of total)

ival-sin: 8.0ms (12.3% of total)

ival-add: 4.0ms (6.2% of total)

ival-sub: 4.0ms (6.2% of total)

ival-atan: 3.0ms (4.6% of total)

ival-sqrt: 2.0ms (3.1% of total)

ival-pi: 1.0ms (1.5% of total)

const: 1.0ms (1.5% of total)

backward-pass: 0.0ms (0% of total)

series341.0ms (1.2%)

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 (* (/ 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))))))>
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#<alt (+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))>
#<alt (+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))>
#<alt (+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))>
#<alt (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))>
#<alt (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))>
#<alt (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))>
#<alt (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))>
#<alt (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))>
#<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)))))>

Calls

72 calls:

Time	Variable		Point	Expression
125.0ms	alphax	@	0	(* (/ alphay alphax) (tan (* (PI) (+ 1/2 (* 2 u1)))))
35.0ms	u0	@	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	alphax	@	-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))))))
16.0ms	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))))))))
15.0ms	alphay	@	inf	(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)))))))

rewrite412.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4272×	`/-lowering-/.f32`
4272×	`/-lowering-/.f64`
3068×	`-lowering-.f32`
3068×	`-lowering-.f64`
1684×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	337
1	183	225
2	1621	209
0	8470	209

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 292

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))))
(* (/ 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))))
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(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)) (.f32 (PI.f32) (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 4 binary32) (.f32 u1 u1))))))
(/.f32 #s(literal 1 binary32) (/.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 #s(literal 1/8 binary32) (.f32 #s(literal 8 binary32) (.f32 u1 (*.f32 u1 u1)))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)) (.f32 (-.f32 #s(literal 1/4 binary32) (.f32 #s(literal 4 binary32) (.f32 u1 u1))) (PI.f32))))
(/.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)))

simplify553.0ms (2%)

Algorithm

1×	egg-herbie

Rules

6064×	`-lowering-.f32`
6064×	`-lowering-.f64`
4042×	`+-lowering-+.f64`
4042×	`+-lowering-+.f32`
2322×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	768	30141
1	2778	26960
0	8179	26960

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))
(sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (* 1/2 (* (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (+ (* 1/2 (* (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (* 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))) (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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) (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (pow u0 2)) (sqrt (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (+ (* 1/2 (* (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (+ (* 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))) (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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) (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (pow u0 2)) (sqrt (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))) (* 1/2 (* (/ (- (+ (/ 1 (* (+ (/ (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 (- 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))))) 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) (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3)))) (+ (* -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))) (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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) (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3)))) (* (+ (/ (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 (+ (/ (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))) (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 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) (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))) (* (+ (/ (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 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))))) (pow u0 3)) (sqrt (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))))))
(sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (* 1/2 (* (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))))
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1
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1
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1
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1
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1
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1
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1
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
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(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))
(* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(/ -1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))
(* -1 (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(- (* -1 (/ (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) u0)) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))
(- (* -1 (/ (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (pow u0 2))) (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(/ -1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))
(* -1 (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(- (* -1 (/ (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) u0)) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
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(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* 2 (* u1 (PI)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))

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

eval188.0ms (0.7%)

Compiler: Compiled 113471 to 5766 computations (94.9% saved)

prune208.0ms (0.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	1148	14	1162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	1149	14	1163

Accuracy

100.0%

Counts

1163 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(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))
	98.7%	(/.f32 #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)))
	96.6%	(/.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)))))
▶	49.7%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u0 (.f32 alphax alphax))) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
▶	99.1%	(/.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))))))
▶	50.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
	99.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (+.f32 (/.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))))))
	96.6%	(+.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))))
	43.4%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 u0 (.f32 alphax alphax))) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
	95.6%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))
	98.0%	(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))))))
▶	99.7%	(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 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
▶	92.0%	#s(literal 1 binary32)

Compiler

Compiled 1212 to 746 computations (38.4% saved)

simplify345.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.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-diff	0	(+.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-diff	0	(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-diff	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 (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-diff	0	(/.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-diff	0	(+.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-diff	0	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphax alphax)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (.f32 u0 (*.f32 alphax alphax)))
✓	cost-diff	0	(/.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-diff	0	(+.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-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u0 (.f32 alphax alphax))) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
✓	cost-diff	0	(/.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-diff	0	(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-diff	0	(.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-diff	3168	(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

3074×	`-lowering-.f32`
3074×	`-lowering-.f64`
1598×	`fnmadd-define`
1492×	`/-lowering-/.f32`
1492×	`/-lowering-/.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1456
1	127	1378
2	314	1364
3	1022	1352
4	3514	1352
5	7116	1352
0	8157	1352

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 (* alphax alphax))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
1
(+ 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)))
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))
(* 2 u1)
2
u1
(- 1 u0)
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
1
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* u0 (* alphax alphax))
u0
(* alphax alphax)
alphax
(* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(- 1 u0)
(/ 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 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 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay)))))) -1/2)
(.f32 (log1p.f32 (/.f32 (/.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 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))))
(log1p.f32 (/.f32 (/.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 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (.f32 alphay alphay))))))
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))))
(/.f32 (/.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 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (.f32 alphay alphay)))))
(/ u0 (- 1 u0))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(- 1 u0)
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(* alphax alphax)
(*.f32 alphax alphax)
(/ (- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))) (* alphay alphay))
(.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))
(* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(* alphay alphay)
(*.f32 alphay alphay)

localize518.0ms (1.8%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.7%	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax))
✓	accuracy	98.4%	(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))
✓	accuracy	97.8%	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
✓	accuracy	61.5%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	98.8%	(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
✓	accuracy	98.6%	(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓	accuracy	61.5%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	59.4%	(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)))
✓	accuracy	98.8%	(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
✓	accuracy	98.6%	(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓	accuracy	61.5%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	59.4%	(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)))
✓	accuracy	98.7%	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax))
✓	accuracy	98.4%	(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))
✓	accuracy	97.8%	(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
✓	accuracy	61.5%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))

Results

271.0ms	250×	0	valid
22.0ms	6×	1	valid

Compiler

Compiled 1480 to 53 computations (96.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 172.0ms

ival-div: 24.0ms (13.9% of total)

ival-mult: 21.0ms (12.2% of total)

ival-atan: 21.0ms (12.2% of total)

ival-tan: 21.0ms (12.2% of total)

ival-sub: 18.0ms (10.4% of total)

ival-cos: 16.0ms (9.3% of total)

backward-pass: 13.0ms (7.5% of total)

ival-add: 9.0ms (5.2% of total)

compiled-spec: 8.0ms (4.6% of total)

ival-pow: 6.0ms (3.5% of total)

ival-log: 5.0ms (2.9% of total)

ival-sqrt: 4.0ms (2.3% of total)

ival-exp: 3.0ms (1.7% of total)

ival-pi: 1.0ms (0.6% of total)

const: 1.0ms (0.6% of total)

series635.0ms (2.2%)

Counts

22 → 900

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

Calls

225 calls:

Time	Variable		Point	Expression
87.0ms	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)
54.0ms	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)
35.0ms	alphax	@	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))
30.0ms	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))
27.0ms	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))

rewrite374.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3006×	`fma-lowering-fma.f32`
3006×	`fma-lowering-fma.f64`
2622×	`-lowering-.f32`
2622×	`-lowering-.f64`
2214×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	53	689
1	359	607
2	3665	607
0	8147	607

Stop Event

1×	iter limit
1×	node limit

Counts

22 → 523

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 (* 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))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* 1/2 (* u0 (* alphax alphax)))
(/ 1 (sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt (+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* u0 (* alphax alphax)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/ 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)
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(* (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 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (.f32 alphay alphay))))) #s(literal -1/2 binary32)))
(exp.f32 (.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay)))))) #s(literal -1 binary32)))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #s(literal 1/2 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 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))))
(pow.f32 (neg.f32 (neg.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #s(literal 1/2 binary32)))) #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 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #s(literal 1/2 binary32)))
(/.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 #s(literal 1 binary32) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))) #s(literal 1/2 binary32)))))
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(.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)))

simplify1.4s (4.9%)

Algorithm

1×	egg-herbie

Rules

5596×	`-lowering-.f32`
5596×	`-lowering-.f64`
3782×	`+-lowering-+.f64`
3782×	`+-lowering-+.f32`
2504×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2217	162960
1	7143	161466
0	8217	161466

Stop Event

1×	iter limit
1×	node limit

Counts

900 → 900

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 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (pow u0 2)) (sqrt (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (* 1/2 (* (/ (- (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2)))) (+ (* -1 (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2)))) (* (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (* 1/2 (/ (+ (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (* 3/4 (/ 1 (* (pow (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) 3) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (* (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (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))))))))) (pow u0 3)) (sqrt (- 1 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))))))
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1
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(* 1/2 (PI))) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))))) (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (+ (* 12 (/ (* (pow alphay 2) (* u0 (* (sin (* 1/2 (PI))) (* (+ (* -4 (/ (* (pow alphay 4) (* u0 (* (pow (sin (* 1/2 (PI))) 2) (pow (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2)))) (* (pow alphax 8) (* (pow (cos (* 1/2 (PI))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) 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(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))) (pow alphay 2)))))))))
(* -1/2 (log (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
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(/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))) 2))) (* (pow alphax 4) (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))) 2))))) (* (- 1 u0) (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* (pow alphax 4) (* (cos (* 1/2 (PI))) (* (pow (+ 1 (/ u0 (* (- 1 u0) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) 2) (* (pow (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow 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(/ (* (pow alphay 2) u0) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2))))) (/ u0 (* (- 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (+ (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* (pow alphay 2) (+ (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (pow alphay 4))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))) (+ (/ (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))))))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (/ (* (pow alphax 6) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 10))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 10) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (pow alphay 6))) (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow alphay 4) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))))))
1
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (* u0 (- (* -1 (* u0 (+ (* -1/4 (/ (pow alphax 4) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (* u0 (- (* u0 (- (* -1 (* u0 (+ (* -1/2 (/ (* (pow alphax 2) (+ (* -1/4 (/ (pow alphax 4) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (+ (* -1/4 (/ (pow alphax 4) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (+ (* -1/4 (/ (pow alphax 4) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(/ 1 (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ (* 1/2 (/ (pow alphax 2) (* u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2))))) (/ 1 (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (pow alphax 2) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2)))) (* -1/4 (/ (pow alphax 4) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 3))))) (pow u0 2))) (/ 1 (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* -1/2 (/ (pow alphax 2) (* u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2))))))
(- (+ (* -1 (/ (+ (* -1/2 (/ (pow alphax 2) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2)))) (+ (* -1/4 (/ (pow alphax 4) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 3)))) (* 1/2 (/ (* (pow alphax 2) (+ (* -1/2 (/ (pow alphax 2) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2)))) (* -1/4 (/ (pow alphax 4) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 3)))))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))) (pow u0 3))) (/ 1 (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (+ (* -1/2 (/ (pow alphax 2) (* u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2))))) (+ (* -1/2 (/ (pow alphax 2) (* (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 2))))) (* -1/4 (/ (pow alphax 4) (* (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (+ 1 (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) 3))))))))
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1
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1
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1
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(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(* -1 (* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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1
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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 (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)
(* 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 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (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)))))))))
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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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(* -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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(* -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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(* -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))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
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(* (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)))))
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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 (* (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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(+.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) u0) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (.f32 #s(literal -1/8 binary32) (.f32 (.f32 alphax alphax) (.f32 u0 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 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))))))
(+ 1 (* (pow alphax 2) (+ (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphax 2) (pow u0 3)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)))))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) u0) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 (.f32 #s(literal -1/8 binary32) (.f32 u0 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 4 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (.f32 #s(literal 1/16 binary32) (.f32 (.f32 alphax alphax) (.f32 u0 (.f32 u0 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 6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u0) (*.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))))))))))
(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(/.f32 (.f32 alphax (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(.f32 alphax (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (.f32 alphax alphax))) (/.f32 (.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(.f32 alphax (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (.f32 alphax alphax))) (/.f32 (.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (cos.f32 (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 -1/8 binary32) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (.f32 u0 u0))))) (pow.f32 alphax #s(literal 4 binary32))))))
(* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(.f32 alphax (+.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (.f32 u0 u0))))) (pow.f32 alphax #s(literal 4 binary32)))) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (.f32 alphax alphax))) (/.f32 (.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (cos.f32 (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 1/16 binary32) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 5 binary32)) (pow.f32 u0 #s(literal 5 binary32))))) (pow.f32 alphax #s(literal 6 binary32)))))))
(* -1 (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(neg.f32 (/.f32 (.f32 alphax (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))
(* -1 (* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(.f32 (.f32 #s(literal -1 binary32) alphax) (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (.f32 alphax alphax))) (/.f32 (.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))
(* -1 (* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(.f32 (.f32 #s(literal -1 binary32) alphax) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (.f32 alphax alphax))) (/.f32 (.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (cos.f32 (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 -1/8 binary32) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (*.f32 u0 u0))))) (pow.f32 alphax #s(literal 4 binary32))))))
(* -1 (* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
(.f32 (.f32 #s(literal -1 binary32) alphax) (+.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (.f32 u0 u0))))) (pow.f32 alphax #s(literal 4 binary32)))) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (.f32 alphax alphax))) (/.f32 (.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (cos.f32 (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 1/16 binary32) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 5 binary32)) (pow.f32 u0 #s(literal 5 binary32))))) (pow.f32 alphax #s(literal 6 binary32)))))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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)))))
(sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.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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(* 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))))))
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(* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (+ (* 1/4 (/ (* (- 1 u0) (* (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) 2) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 4)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))))))
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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 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#s(literal 2 binary32) u1))))) alphax)))))) #s(literal 2 binary32)))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (pow.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) 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(.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))) u0))) (pow.f32 alphay #s(literal 4 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))))))))) (+ (* -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))) 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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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(* -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 (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))) (+ (* 1/4 (/ (* (- 1 u0) (* (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) 2) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 4)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (- 1 u0) (pow (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2)))))) (pow alphay 2)) (sqrt (/ (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) u0))))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (- 1 u0) (- (+ 1/2 (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* 1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))) (+ (* -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 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(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(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 #s(literal 1/2 binary32) (PI.f32))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(* 2 (* u1 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(.f32 u1 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) u1)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(.f32 u1 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) u1)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(.f32 u1 (+.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) u1)))
(* 2 (* u1 (PI)))
(.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(.f32 (.f32 #s(literal -1 binary32) u1) (+.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) u1)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(.f32 (.f32 #s(literal -1 binary32) u1) (+.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) u1)))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(.f32 (.f32 #s(literal -1 binary32) u1) (+.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (/.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) u1)))

eval485.0ms (1.7%)

Compiler: Compiled 261536 to 7589 computations (97.1% saved)

prune273.0ms (1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	2133	17	2150
Fresh	6	3	9
Picked	4	1	5
Done	0	0	0
Total	2143	21	2164

Accuracy

100.0%

Counts

2164 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.6%	(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))
	50.1%	(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.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 -1/2 binary32))
	48.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 alphax alphax) (/.f32 u0 (-.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)))
	96.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))))
	96.6%	(/.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)))))
	99.4%	(/.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 (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))))
	98.2%	(/.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 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
	93.3%	(/.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 #s(literal 2 binary32) (.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (.f32 alphay alphay)))) #s(literal 1 binary32))))
	93.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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))))
▶	97.5%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
	50.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.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))))
▶	50.9%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
▶	96.6%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
	43.6%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphax alphax) u0)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
▶	96.6%	(+.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))))
	97.9%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 alphay alphay)) (.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))) (*.f32 alphay alphay))))))))
▶	100.0%	(exp.f32 (.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))
	98.7%	(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 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (.f32 alphay alphay))))) #s(literal -1/2 binary32)))
	93.5%	(exp.f32 (.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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)))
	97.9%	(exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
✓	92.0%	#s(literal 1 binary32)

Compiler

Compiled 1781 to 1167 computations (34.5% saved)

simplify210.0ms (0.7%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 alphax alphax)
✓	cost-diff	128	(.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 u0 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))
✓	cost-diff	128	(sqrt.f32 (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 u0 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))))
✓	cost-diff	128	(/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 u0 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))))
✓	cost-diff	0	(/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	0	(+.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
✓	cost-diff	0	(sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 u0 (.f32 alphay alphay))
✓	cost-diff	0	(.f32 #s(literal -1/2 binary32) (.f32 u0 (*.f32 alphay alphay)))
✓	cost-diff	0	(/.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-diff	0	(+.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-diff	0	(.f32 (.f32 alphay alphay) u0)
✓	cost-diff	0	(.f32 #s(literal -1/2 binary32) (.f32 (*.f32 alphay alphay) u0))
✓	cost-diff	0	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
✓	cost-diff	0	(/.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-diff	0	(log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (.f32 alphay alphay)))))
✓	cost-diff	0	(.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
✓	cost-diff	3168	(exp.f32 (.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))

Rules

3786×	`-lowering-.f32`
3786×	`-lowering-.f64`
1832×	`fma-define`
1578×	`times-frac`
1508×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	1440
1	164	1341
2	468	1338
3	1504	1332
4	4859	1332
5	7221	1332
0	8103	1332

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))))
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))
(/ u0 (- 1 u0))
u0
(- 1 u0)
1
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)))
(+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphax
alphay
(* alphax alphax)
(/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))
(pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2)
(sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(* alphay alphay)
-1/2
(+ 1 (/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
1
(/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(* -1/2 (* (* alphay alphay) u0))
-1/2
(* (* alphay alphay) u0)
(* alphay alphay)
alphay
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 u0)
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
1
(/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* -1/2 (* u0 (* alphay alphay)))
-1/2
(* u0 (* alphay alphay))
u0
(* alphay alphay)
alphay
(* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
alphax
(- 1 u0)
(/ 1 (sqrt (+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1)))
1
(sqrt (+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1))
(+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1)
(/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(* (* alphay alphay) u0)
(* alphay alphay)
alphay
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
1/2
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
-1/2
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
u1
alphax
(- 1 u0)
(/ 1 (sqrt (* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
1
(sqrt (* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* alphax alphax)
alphax
(+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ 1 (* alphax alphax))
(/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
u0
(* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
alphay
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(- 1 u0)

Outputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 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))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
(.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 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))
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))))
(log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 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)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 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
#s(literal 1 binary32)
(+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 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 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphay (.f32 alphay #s(literal -1/2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
1
#s(literal 1 binary32)
(/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (.f32 u0 (.f32 alphay (.f32 alphay #s(literal -1/2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(* -1/2 (* (* alphay alphay) u0))
(.f32 u0 (.f32 alphay (*.f32 alphay #s(literal -1/2 binary32))))
-1/2
#s(literal -1/2 binary32)
(* (* alphay alphay) u0)
(.f32 u0 (.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))
(.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
u1
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(+ 1 (/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphay (.f32 alphay #s(literal -1/2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))))
1
#s(literal 1 binary32)
(/ (* -1/2 (* u0 (* alphay alphay))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/.f32 (.f32 u0 (.f32 alphay (.f32 alphay #s(literal -1/2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))
(* -1/2 (* u0 (* alphay alphay)))
(.f32 u0 (.f32 alphay (*.f32 alphay #s(literal -1/2 binary32))))
-1/2
#s(literal -1/2 binary32)
(* u0 (* alphay alphay))
(.f32 u0 (.f32 alphay alphay))
u0
(* alphay alphay)
(*.f32 alphay alphay)
alphay
(* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))
(.f32 (-.f32 #s(literal 1 binary32) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))
(sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(/ 1 (sqrt (+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 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) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))))
1
#s(literal 1 binary32)
(sqrt (+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))))
(+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1)
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))))
(/ (* (* alphay alphay) 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 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
(* (* alphay alphay) u0)
(.f32 u0 (.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))
(.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
-1/2
#s(literal -1/2 binary32)
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
u1
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(/ 1 (sqrt (* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 alphax (.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) alphax)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))))
1
#s(literal 1 binary32)
(sqrt (* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 alphax (.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) alphax)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)))))
(* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 alphax (.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) alphax)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32))))
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 (/.f32 u0 (-.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 (* alphax alphax))
(/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))
(/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(/.f32 (/.f32 u0 (-.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
(* (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)

localize585.0ms (2.1%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.8%	(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
✓	accuracy	98.6%	(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓	accuracy	61.5%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	59.4%	(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)))
✓	accuracy	99.0%	(.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
✓	accuracy	98.8%	(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
✓	accuracy	97.8%	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
✓	accuracy	61.5%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	99.1%	(pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
✓	accuracy	99.0%	(.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
✓	accuracy	98.8%	(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
✓	accuracy	61.5%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	99.0%	(.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))
✓	accuracy	98.8%	(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
✓	accuracy	97.8%	(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
✓	accuracy	61.5%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	98.8%	(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
✓	accuracy	98.7%	(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax))
✓	accuracy	98.4%	(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))
✓	accuracy	61.5%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))

Results

319.0ms	250×	0	valid
12.0ms	6×	1	valid

Compiler

Compiled 1461 to 65 computations (95.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 180.0ms

ival-mult: 33.0ms (18.4% of total)

ival-div: 28.0ms (15.6% of total)

ival-pow: 28.0ms (15.6% of total)

ival-cos: 19.0ms (10.6% of total)

ival-sin: 18.0ms (10% of total)

ival-add: 12.0ms (6.7% of total)

ival-tan: 10.0ms (5.6% of total)

compiled-spec: 8.0ms (4.5% of total)

ival-atan: 7.0ms (3.9% of total)

ival-log: 5.0ms (2.8% of total)

ival-sqrt: 4.0ms (2.2% of total)

ival-exp: 3.0ms (1.7% of total)

ival-sub: 2.0ms (1.1% of total)

const: 1.0ms (0.6% of total)

backward-pass: 1.0ms (0.6% of total)

ival-pi: 1.0ms (0.6% of total)

series757.0ms (2.7%)

Counts

30 → 1128

Calls

Call 1

Inputs
#<alt (exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2))>
#<alt (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)>
#<alt (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))))>
#<alt (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))>
#<alt (+ 1 (/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))>
#<alt (/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))>
#<alt (* -1/2 (* (* alphay alphay) u0))>
#<alt (* (* alphay alphay) 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 (* u0 (* alphay alphay))>
#<alt (/ 1 (sqrt (+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1)))>
#<alt (sqrt (+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1))>
#<alt (+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1)>
#<alt (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))>
#<alt (/ 1 (sqrt (* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))>
#<alt (sqrt (* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))>
#<alt (* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))>
#<alt (* alphax alphax)>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)>
#<alt (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))>
#<alt (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))>
#<alt (* (PI) (+ 1/2 (* 2 u1)))>
#<alt (* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))>
#<alt (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>
#<alt (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))>
#<alt (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)>

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

Calls

282 calls:

Time	Variable		Point	Expression
155.0ms	u1	@	-inf	(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
139.0ms	alphay	@	inf	(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2))
42.0ms	u1	@	inf	(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
36.0ms	u1	@	0	(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
31.0ms	alphax	@	inf	(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2))

rewrite683.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3628×	`-lowering-.f32`
3628×	`-lowering-.f64`
2490×	`/-lowering-/.f32`
2490×	`/-lowering-/.f64`
2100×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	712
1	443	653
2	4887	650
0	8355	650

Stop Event

1×	iter limit
1×	node limit

Counts

30 → 676

Calls

Call 1

Inputs
(exp (* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2))
(* (log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay)))))) -1/2)
(log (+ 1 (/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))))
(/ (/ u0 (- 1 u0)) (+ (/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax)) (/ (pow (sin (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))) 2) (* alphay alphay))))
(+ 1 (/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
(/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(* -1/2 (* (* alphay alphay) u0))
(* (* alphay alphay) 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)))
(* u0 (* alphay alphay))
(/ 1 (sqrt (+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1)))
(sqrt (+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1))
(+ (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))) 1)
(/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/ 1 (sqrt (* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(sqrt (* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* (* alphax alphax) (+ (/ 1 (* alphax alphax)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* alphax alphax)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2)
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(* (PI) (+ 1/2 (* 2 u1)))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)

Outputs
(exp.f32 (.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #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)))
(exp.f32 (.f32 (log.f32 (exp.f32 #s(literal -1/2 binary32))) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #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)))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #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))))))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (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 #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 -1/4 binary32)))
(.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (.f32 alphay alphay))))) #s(literal -1/2 binary32))
(.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #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))))))
(log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))))
(neg.f32 (log.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (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 #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 binary32)))) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (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))))))
(neg.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (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) (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (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 2 binary32))))))
(+.f32 (log1p.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (.f32 alphay alphay)))) #s(literal 3 binary32))) (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #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)))) (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (.f32 alphax alphax))) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (.f32 alphay alphay)))) #s(literal 1 binary32)))))))
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(pow.f32 (exp.f32 (log.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) #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 (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)) (.f32 (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.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 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(/.f32 (.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(.f32 (exp.f32 (log.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))) (exp.f32 (log.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
(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) (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 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (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)))
(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))
(-.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (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 (cos.f32 (.f32 #s(literal 2 binary32) (atan.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 #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 (/.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)))))))

simplify1.1s (4.1%)

Algorithm

1×	egg-herbie

Rules

5812×	`-lowering-.f32`
5812×	`-lowering-.f64`
3770×	`+-lowering-+.f64`
3770×	`+-lowering-+.f32`
2652×	`/-lowering-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2307	110433
1	7326	110363
0	8329	110363

Stop Event

1×	iter limit
1×	node limit

Counts

1128 → 1128

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))))
(sqrt (/ 1 (- 1 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2)))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))))) (* 1/2 (* (/ 1 (* u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))))) 3))))))
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(- 1 u0))))) (/ (* (pow alphay 4) (* u0 (+ (* -1 (/ (* (pow alphay 8) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (* -1 (/ (+ (* -1 (/ (* (pow alphay 6) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (- 1 u0)))) (* -1 (/ (* (pow alphay 6) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- 1 u0)))))) (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) 2)))))) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (- 1 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1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(/ (* (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 (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)))))))
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(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0)))
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1
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1
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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)))))))))
(+ (* -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))))
(* -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))))
(* -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))))
(* -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))))
(* -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 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* -1/2 (* (pow alphay 2) u0))
(* (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)
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(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
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(* (pow alphay 2) u0)
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(* (pow alphay 2) u0)
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(* (pow alphay 2) u0)
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(* (pow alphay 2) u0)
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(* (pow alphay 2) u0)
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1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))
(+ 1 (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 3) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))
(+ 1 (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) u0)) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ 1 (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) u0)) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) u0)) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
(* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (/ 1 (pow alphay 2))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 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 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))
(* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* -1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))))
(* 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)))) (* 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)))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ (* 1/2 (/ (pow alphay 2) (* u0 (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 3) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(* 1/2 (/ (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)))) (* 1/2 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(+ 1 (* (pow alphay 2) (+ (* -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) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))))) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (/ (pow u0 3) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)))))) (* -1/2 (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))))))))))
(* (/ 1 alphay) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))
(/ (+ (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)) (* -1/2 (* (/ 1 (pow alphay 2)) (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)))))) alphay)
(/ (+ (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)) (+ (* -1/2 (* (/ 1 (pow alphay 2)) (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 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphay 4)) (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))) alphay)
(/ (+ (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)) (+ (* -1/2 (* (/ 1 (pow alphay 2)) (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 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphay 4)) (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))) (* -1/2 (* (/ (+ (* 1/2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (* (+ (* -1 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (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 u0))) u0)) (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 4) (pow (- 1 u0) 4)) (pow u0 4))) (pow alphay 6)) (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))))) alphay)
(* -1 (* (/ 1 alphay) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))
(* -1 (/ (+ (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)) (* -1/2 (* (/ 1 (pow alphay 2)) (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)))))) alphay))
(* -1 (/ (+ (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)) (+ (* -1/2 (* (/ 1 (pow alphay 2)) (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 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphay 4)) (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))) alphay))
(* -1 (/ (+ (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)) (+ (* -1/2 (* (/ 1 (pow alphay 2)) (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 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphay 4)) (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))) (* -1/2 (* (/ (+ (* 1/2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (* (+ (* -1 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (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 u0))) u0)) (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 4) (pow (- 1 u0) 4)) (pow u0 4))) (pow alphay 6)) (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))))) alphay))
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(+ 1 (* u0 (+ (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* u0 (+ (* -1/2 (* 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)))))))))))))))
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1
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(* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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1
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1
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1
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1
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (* (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphax 6) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))) alphax))
1
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ 1 (* u0 (+ (* -1/2 (/ (* u0 (+ (* -1 (/ (pow alphax 6) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (+ (* 1/4 (/ (pow alphax 6) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (/ (pow alphax 4) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))) (pow alphax 2))) (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (* u0 (+ (* -1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* -1/2 (/ (* u0 (+ (* -1 (/ (* (pow alphax 2) (+ (* -1 (/ (pow alphax 6) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (/ (pow alphax 4) (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 (/ (pow alphax 6) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (+ (* 1/2 (/ (* (pow alphax 2) (+ (* -1 (/ (pow alphax 6) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (+ (* 1/4 (/ (pow alphax 6) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (/ (pow alphax 4) (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 alphax 4) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (pow alphax 2))) (* -1/2 (/ (+ (* -1 (/ (pow alphax 6) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (+ (* 1/4 (/ (pow alphax 6) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))) (/ (pow alphax 4) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (pow alphax 2))))))))
(* (/ 1 alphax) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ (* 1/2 (* (/ 1 (* alphax (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (sqrt (/ 1 (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) (* (/ 1 alphax) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))
(+ (* 1/2 (* (/ 1 (* alphax (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (sqrt (/ 1 (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) (+ (* 1/2 (* (/ (+ (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 2))) (* 3/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) (* alphax (pow u0 2))) (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* (/ 1 alphax) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))
(+ (* 1/2 (* (/ 1 (* alphax (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (sqrt (/ 1 (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) (+ (* 1/2 (* (/ (+ (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 2))) (* 3/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) (* alphax (pow u0 2))) (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (+ (* 1/2 (* (/ (- (+ (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 2))) (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3)))) (+ (* -1 (/ (+ (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 2))) (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3)))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* 1/2 (/ (+ (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 2))) (* 3/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) (* alphax (pow u0 3))) (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* (/ 1 alphax) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))))
(* (/ 1 alphax) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ (* 1/2 (* (/ 1 (* alphax (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (sqrt (/ 1 (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) (* (/ 1 alphax) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))
(+ (* -1 (/ (+ (* -1/2 (* (/ 1 (* alphax (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) (* -1/2 (* (/ (+ (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 2))) (* 3/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) (* alphax u0)) (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) u0)) (* (/ 1 alphax) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (* (/ (+ (* -1/2 (/ (+ (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 2))) (* 3/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (+ (* 2 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3)))) (+ (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 2))) (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 4)))))) (* alphax u0)) (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (* 1/2 (* (/ (+ (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 2))) (* 3/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3))))) alphax) (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) u0)) (* -1/2 (* (/ 1 (* alphax (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (pow (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) 3)))))) u0)) (* (/ 1 alphax) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))))
1
(+ 1 (* 1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(+ 1 (* (pow alphax 2) (+ (* -1/8 (/ (* (pow alphax 2) (pow u0 2)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphax 2) (+ (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphax 2) (pow u0 3)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)))))))))
(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* -1 (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(* -1 (* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(* -1 (* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(* -1 (* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
1
(+ 1 (* 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 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (* 1/4 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ 1 (* u0 (+ (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* 1/2 (* (pow alphax 2) (* u0 (- (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (* 1/2 (/ (* (pow alphax 2) (- (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (* 1/4 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (* 1/2 (* (pow alphax 2) (- (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (* 1/4 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4)))))))))))
(* alphax (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ (* -1/2 (* (/ alphax (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (* alphax (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ (* -1/2 (* (/ alphax (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (+ (* -1/2 (* (/ (* alphax (+ (* 1/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (pow u0 2)) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (* alphax (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))
(+ (* -1/2 (* (/ alphax (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (+ (* -1/2 (* (/ (* alphax (+ (* 1/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (pow u0 2)) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (+ (* -1/2 (* (/ (* alphax (+ (* 1/2 (/ (+ (* 1/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (/ 1 (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 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (pow u0 3)) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (* alphax (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))))
(* alphax (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ (* -1/2 (* (/ alphax (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (* alphax (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ (* -1 (/ (+ (* 1/2 (* (/ alphax (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (* 1/2 (* (/ (* alphax (+ (* 1/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) u0) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) u0)) (* alphax (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (* alphax (+ (* 1/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (* -1/2 (* (/ (* alphax (- (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (* -1/2 (/ (+ (* 1/4 (/ 1 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))) (/ 1 (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 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) u0) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) u0)) (* 1/2 (* (/ alphax (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))) u0)) (* alphax (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
(* alphax (sqrt (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0))))))
1
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
1
(+ 1 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))
(+ 1 (* u0 (+ (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ 1 (* u0 (+ (* u0 (+ (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ (* -1 (/ (pow alphax 2) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* (pow alphax 2) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(+ (* -1 (/ (pow alphax 2) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* -1 (/ (pow alphax 2) (* (pow u0 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* (pow alphax 2) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
(+ (* -1 (/ (pow alphax 2) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* -1 (/ (pow alphax 2) (* (pow u0 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (+ (* -1 (/ (pow alphax 2) (* (pow u0 3) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* (pow alphax 2) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))))
(* (pow alphax 2) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
(+ (* -1 (/ (pow alphax 2) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* (pow alphax 2) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow alphax 2) (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) (* -1 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))) u0)) (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) u0)) (* (pow alphax 2) (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))
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(/ (- (+ 1 (/ (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (pow alphax 2))
(/ (- (+ 1 (* -1 (/ (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (+ (* -1 (/ (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (pow alphax 2))
(/ 1 (pow alphax 2))
(+ (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ 1 (pow alphax 2)))
(+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (/ (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) (/ 1 (pow alphax 2)))
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(/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/ (+ (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (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 alphay 2))
(/ (- (+ (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (pow alphay 2))
(/ (- (+ (* -1 (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (* -1 (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (pow alphay 2))
(/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
(/ (+ (* -1 (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (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 alphay 2))
(/ (- (+ (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))) (pow alphay 2))
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(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
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(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
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(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
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(* 2 (* u1 (PI)))
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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)

Outputs
1
#s(literal 1 binary32)
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (/ (pow (sin (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (pow alphay 2))) (- 1 u0))))))
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(* (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)))))
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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 (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)))))
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(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0)))
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(* (pow alphay 2) (+ (/ u0 (* (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (- 1 u0))) (/ (* (pow alphax 2) (* u0 (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow alphay 2) (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ (/ (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) 2) (- 1 u0)))))))
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(* 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) 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) (* (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 alphay) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))
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(/ (+ (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)) (* -1/2 (* (/ 1 (pow alphay 2)) (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)))))) alphay)
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(/ (+ (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)) (+ (* -1/2 (* (/ 1 (pow alphay 2)) (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 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphay 4)) (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))) alphay)
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(* -1 (* (/ 1 alphay) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))
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(+ 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)))))))))
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(* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(.f32 alphay (sqrt.f32 (/.f32 u0 (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))))
(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))))
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(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))))))
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(* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (+ (* 1/16 (* (/ 1 (pow alphay 6)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 5) (pow (- 1 u0) 5)) (pow u0 5))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))))))
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(* -1 (* alphay (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -1/8 (* (/ 1 (pow alphay 4)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (pow u0 3))))) (+ (* 1/16 (* (/ 1 (pow alphay 6)) (sqrt (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 5) (pow (- 1 u0) 5)) (pow u0 5))))) (* 1/2 (* (/ 1 (pow alphay 2)) (sqrt (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)))))))))
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(+ 1 (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* 1/4 (/ (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) (+ 1/2 (* -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 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
(* (/ 1 alphax) (sqrt (/ 1 (+ (/ 1 (pow alphax 2)) (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2) (- 1 u0)))))))
(.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 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)))))))
1
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(+ 1 (* (pow alphax 2) (+ (* -1/8 (/ (* (pow alphax 2) (pow u0 2)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))))))
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(+ 1 (* (pow alphax 2) (+ (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/8 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4) (pow (- 1 u0) 2)))) (* 1/16 (/ (* (pow alphax 2) (pow u0 3)) (* (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 6) (pow (- 1 u0) 3)))))))))
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(* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0))))
(/.f32 (.f32 alphax (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(.f32 alphax (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (.f32 alphax alphax))) (/.f32 (.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))))))
(* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
(.f32 alphax (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (.f32 alphax alphax))) (/.f32 (.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (cos.f32 (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 -1/8 binary32) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (.f32 u0 u0))))) (pow.f32 alphax #s(literal 4 binary32))))))
(* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
(.f32 alphax (+.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u0) (.f32 (-.f32 #s(literal 1 binary32) u0) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (.f32 u0 u0))))) (pow.f32 alphax #s(literal 4 binary32)))) (+.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (.f32 alphax alphax))) (/.f32 (.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (cos.f32 (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 1/16 binary32) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 5 binary32)) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 5 binary32)) (pow.f32 u0 #s(literal 5 binary32))))) (pow.f32 alphax #s(literal 6 binary32)))))))
(* -1 (* (/ alphax (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (sqrt (/ u0 (- 1 u0)))))
(neg.f32 (/.f32 (.f32 alphax (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))
(* -1 (* alphax (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))
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(* -1 (* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))
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(* -1 (* alphax (+ (* -1/8 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 3) (pow alphax 4)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* 1/16 (* (/ (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 5) (pow alphax 6)) (sqrt (/ (pow (- 1 u0) 5) (pow u0 5))))) (+ (* 1/2 (* (/ (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) (pow alphax 2)) (sqrt (/ (- 1 u0) u0)))) (* (sqrt (/ u0 (- 1 u0))) (/ 1 (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))
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(+ 1 (* u0 (+ (* 1/2 (* (pow alphax 2) (* u0 (- (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (* 1/4 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))))) (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
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(+ 1 (* u0 (+ (* 1/2 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (* u0 (+ (* 1/2 (* (pow alphax 2) (* u0 (- (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (* 1/2 (/ (* (pow alphax 2) (- (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (* 1/4 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4))))) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (* 1/2 (* (pow alphax 2) (- (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)) (* 1/4 (/ (pow alphax 2) (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 4)))))))))))
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(* alphax (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)))))
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(+ (* -1/2 (* (/ alphax (* u0 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))) (sqrt (/ 1 (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))) (* alphax (sqrt (- (/ 1 (pow alphax 2)) (/ 1 (pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2))))))
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(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))
(pow (cos (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))

eval437.0ms (1.5%)

Compiler: Compiled 189860 to 8722 computations (95.4% saved)

prune280.0ms (1%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	2412	10	2422
Fresh	4	11	15
Picked	4	1	5
Done	0	1	1
Total	2420	23	2443

Accuracy

100.0%

Counts

2443 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(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))
▶	50.1%	(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.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 -1/2 binary32))
	97.9%	(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))) #s(literal -1/2 binary32))
	48.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 alphax alphax) (/.f32 u0 (-.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)))
	94.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 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 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))))
	98.2%	(/.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 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
	93.3%	(/.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 #s(literal 2 binary32) (.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (.f32 alphay alphay)))) #s(literal 1 binary32))))
	93.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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))))
	97.7%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
	50.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.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))))
	50.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 (/.f32 u0 (-.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)))) (*.f32 alphax alphax))))
	94.8%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
	94.8%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓	96.6%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
	33.3%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
▶	96.8%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
	43.6%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphax alphax) u0)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
	96.0%	(.f32 (.f32 alphay alphay) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 #s(literal 1 binary32) (.f32 alphay alphay))))
	93.7%	(exp.f32 (.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 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)))
	93.5%	(exp.f32 (.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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)))
▶	97.9%	(exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
✓	92.0%	#s(literal 1 binary32)

Compiler

Compiled 1749 to 1196 computations (31.6% saved)

simplify216.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	0	(log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
✓	cost-diff	0	(.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32))
✓	cost-diff	3168	(exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
✓	cost-diff	3168	(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))
✓	cost-diff	3232	(/.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.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)))
✓	cost-diff	3232	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.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))))
✓	cost-diff	3232	(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.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 -1/2 binary32))
✓	cost-diff	0	(.f32 #s(literal 1/2 binary32) (.f32 (*.f32 alphay alphay) u0))
✓	cost-diff	128	(/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	128	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
✓	cost-diff	128	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))))
✓	cost-diff	0	(.f32 (.f32 alphay alphay) u0)
✓	cost-diff	0	(.f32 #s(literal -1/2 binary32) (.f32 (*.f32 alphay alphay) u0))
✓	cost-diff	0	(/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
✓	cost-diff	0	(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
✓	cost-diff	0	(/.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-diff	0	(+.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-diff	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 (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

3722×	`-lowering-.f32`
3722×	`-lowering-.f64`
2192×	`sum4-define`
1274×	`/-lowering-/.f32`
1274×	`/-lowering-/.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	1408
1	178	1320
2	466	1320
3	1361	1315
4	4685	1300
0	8464	1300

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 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))))
1
(/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))
(* -1/2 (* (* alphay alphay) u0))
-1/2
(* (* alphay alphay) u0)
(* alphay alphay)
alphay
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 u0)
(/ 1 (+ 1 (/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
1
(+ 1 (/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
(/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(* 1/2 (* (* alphay alphay) u0))
1/2
(* (* alphay alphay) u0)
(* alphay alphay)
alphay
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 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
-1/2
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
u1
alphax
(- 1 u0)
(pow (+ 1 (/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2))) -1/2)
(+ 1 (/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2)))
1
(/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2))
(* (* alphax alphax) (/ u0 (- 1 u0)))
(* alphax alphax)
alphax
(/ u0 (- 1 u0))
u0
(- 1 u0)
(pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2)
(/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
1/2
(* 2 u1)
2
u1
(/ alphax alphay)
alphay
-1/2
(exp (* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2))
(* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2)
(log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(* (* alphay alphay) u0)
(* alphay alphay)
alphay
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
1/2
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
-1/2
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
2
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(PI)
(+ 1/2 (* 2 u1))
(* 2 u1)
u1
alphax
(- 1 u0)
1

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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 #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))
(+ 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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 #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)))))
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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 #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))))
(/ 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 (/.f32 (/.f32 #s(literal 1 binary32) 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 #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)))
(/ (/ 1 (+ 1 (pow (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) 2))) (* alphax alphax))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) 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 #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))
(- 1/2 (* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))
(* 1/2 (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))))
(.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))))
(.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(* alphay alphay)
(*.f32 alphay alphay)
-1/2
#s(literal -1/2 binary32)
(+ 1 (/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphay (.f32 alphay #s(literal -1/2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))))))
1
#s(literal 1 binary32)
(/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))
(/.f32 (.f32 u0 (.f32 alphay (.f32 alphay #s(literal -1/2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))))
(* -1/2 (* (* alphay alphay) u0))
(.f32 u0 (.f32 alphay (*.f32 alphay #s(literal -1/2 binary32))))
-1/2
#s(literal -1/2 binary32)
(* (* alphay alphay) u0)
(.f32 u0 (.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))
(.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))
(.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))))
(* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))
(.f32 #s(literal 2 binary32) (atan.f32 (.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(atan.f32 (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax)))
(/ (* alphay (tan (* 1/2 (PI)))) alphax)
(.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 alphay alphax))
(* alphay (tan (* 1/2 (PI))))
(.f32 alphay (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))))
(tan (* 1/2 (PI)))
(tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(* 1/2 (PI))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(PI)
(PI.f32)
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(/ 1 (+ 1 (/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphay (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))))
1
#s(literal 1 binary32)
(+ 1 (/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphay (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))))
(/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(/.f32 (.f32 u0 (.f32 alphay (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)))) (-.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))))
(* 1/2 (* (* alphay alphay) u0))
(.f32 u0 (.f32 #s(literal 1/2 binary32) (*.f32 alphay alphay)))
1/2
#s(literal 1/2 binary32)
(* (* alphay alphay) u0)
(.f32 u0 (.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))
(.f32 (-.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))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(.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
#s(literal -1/2 binary32)
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
u1
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(pow (+ 1 (/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2))) -1/2)
(pow.f32 (+.f32 #s(literal 1 binary32) (.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))
(+ 1 (/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2)))
(+.f32 #s(literal 1 binary32) (.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))))))
1
#s(literal 1 binary32)
(/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2))
(.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (.f32 alphax (.f32 alphax (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))))
(* (* alphax alphax) (/ u0 (- 1 u0)))
(/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))
(* alphax alphax)
(*.f32 alphax alphax)
alphax
(/ u0 (- 1 u0))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
(pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (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 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ 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))))
(sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ 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)))
(/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay))
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
1/2
#s(literal 1/2 binary32)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
2
#s(literal 2 binary32)
u1
(/ alphax alphay)
(/.f32 alphax alphay)
alphay
-1/2
#s(literal -1/2 binary32)
(exp (* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.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))
(* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2)
(.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.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)))))))
(log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(log1p.f32 (/.f32 (.f32 u0 (.f32 alphay alphay)) (.f32 (-.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))))))
(/ (* (* alphay alphay) 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 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))))
(* (* alphay alphay) u0)
(.f32 u0 (.f32 alphay alphay))
(* alphay alphay)
(*.f32 alphay alphay)
alphay
u0
(* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))
(.f32 (-.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))))
(+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))
1/2
#s(literal 1/2 binary32)
(* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))
(.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
#s(literal -1/2 binary32)
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))))
(* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))
(.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))
2
#s(literal 2 binary32)
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
(/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)
(/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))
(* alphay (tan (* (PI) (+ 1/2 (* 2 u1)))))
(.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) alphay)
(tan (* (PI) (+ 1/2 (* 2 u1))))
(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(* (PI) (+ 1/2 (* 2 u1)))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(PI)
(PI.f32)
(+ 1/2 (* 2 u1))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
u1
alphax
(- 1 u0)
(-.f32 #s(literal 1 binary32) u0)
1
#s(literal 1 binary32)

localize2.3s (8.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
✓	accuracy	100.0%	(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))))
✓	accuracy	100.0%	(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(*.f32 alphax alphax)
✓	accuracy	100.0%	(*.f32 #s(literal 2 binary32) u1)
✓	accuracy	100.0%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	100.0%	(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))))
✓	accuracy	100.0%	(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
✓	accuracy	100.0%	(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))))
✓	accuracy	100.0%	(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
✓	accuracy	100.0%	(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)))))
✓	accuracy	100.0%	(atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))
✓	accuracy	6.3%	(PI.f32)

Results

2.0s

256×

exit

Compiler

Compiled 1425 to 71 computations (95% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.4s

backward-pass: 275.0ms (19.4% of total)

ival-mult: 249.0ms (17.5% of total)

ival-pow: 206.0ms (14.5% of total)

ival-div: 148.0ms (10.4% of total)

ival-cos: 138.0ms (9.7% of total)

ival-add: 134.0ms (9.4% of total)

ival-tan: 96.0ms (6.8% of total)

compiled-spec: 60.0ms (4.2% of total)

ival-atan: 44.0ms (3.1% of total)

ival-sub: 27.0ms (1.9% of total)

ival-exp: 17.0ms (1.2% of total)

ival-log: 11.0ms (0.8% of total)

ival-pi: 5.0ms (0.4% of total)

const: 4.0ms (0.3% of total)

ival-sqrt: 4.0ms (0.3% of total)

series422.0ms (1.5%)

Counts

31 → 1044

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 (/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))))>
#<alt (/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))>
#<alt (* -1/2 (* (* alphay alphay) u0))>
#<alt (* (* alphay alphay) u0)>
#<alt (/ 1 (+ 1 (/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))>
#<alt (+ 1 (/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))>
#<alt (/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))>
#<alt (* 1/2 (* (* alphay alphay) u0))>
#<alt (pow (+ 1 (/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2))) -1/2)>
#<alt (+ 1 (/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2)))>
#<alt (/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2))>
#<alt (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2)>
#<alt (exp (* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2))>
#<alt (* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2)>
#<alt (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))>
#<alt (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))>
#<alt (PI)>
#<alt (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))>
#<alt (cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))>
#<alt (tan (* (PI) (+ 1/2 (* 2 u1))))>
#<alt (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))>
#<alt (tan (* 1/2 (PI)))>
#<alt (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))>
#<alt (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))>
#<alt (* 2 u1)>
#<alt (* alphax alphax)>

Outputs
#<alt 1>
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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 (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 (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (* 2 u1)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>
#<alt (pow alphax 2)>

Calls

261 calls:

Time	Variable		Point	Expression
65.0ms	alphax	@	inf	(* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2)
35.0ms	u1	@	-inf	(* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2)
31.0ms	alphax	@	-inf	(* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2)
31.0ms	u1	@	0	(* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2)
27.0ms	u1	@	inf	(* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2)

rewrite388.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3200×	`-lowering-.f32`
3200×	`-lowering-.f64`
2584×	`/-lowering-/.f32`
2584×	`/-lowering-/.f64`
2200×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	74	675
1	478	595
2	5170	595
0	8167	595

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 568

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 (/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))))
(/ (* -1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))
(* -1/2 (* (* alphay alphay) u0))
(* (* alphay alphay) u0)
(/ 1 (+ 1 (/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(+ 1 (/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))
(/ (* 1/2 (* (* alphay alphay) u0)) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(* 1/2 (* (* alphay alphay) u0))
(pow (+ 1 (/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2))) -1/2)
(+ 1 (/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2)))
(/ (* (* alphax alphax) (/ u0 (- 1 u0))) (pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2))
(pow (/ 1 (sqrt (+ (* 1 1) (* (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)) (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))) 2)
(exp (* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2))
(* (log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))) -1/2)
(log (+ 1 (/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
(/ (* (* alphay alphay) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
(PI)
(atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))
(cos (* 2 (atan (/ (tan (* (PI) (+ 1/2 (* 2 u1)))) (/ alphax alphay)))))
(tan (* (PI) (+ 1/2 (* 2 u1))))
(atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))
(cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))
(tan (* 1/2 (PI)))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(* 2 u1)
(* alphax alphax)

Outputs
(exp.f32 (.f32 #s(literal -1/2 binary32) (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (.f32 alphay alphay))))))))
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay)))))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay)))))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (.f32 alphay alphay)))))) (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 (log1p.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))))) #s(literal -1/2 binary32))
(.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (.f32 alphay alphay)))))) #s(literal -1/4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay)))))) #s(literal -1/4 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) (*.f32 alphay alphay))))))
(+.f32 (/.f32 u0 (.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.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 binary32))
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(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (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 (cos.f32 (.f32 #s(literal 2 binary32) (atan.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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.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 (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 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (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 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32))) #s(literal 3 binary32))) (+.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))))) (+.f32 (.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 #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) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) #s(literal -1/2 binary32)))))))
(/.f32 (-.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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.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 #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 binary32))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))) (-.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal 1 binary32) (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) (sin.f32 (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))
(*.f32 #s(literal 2 binary32) u1)
(*.f32 u1 #s(literal 2 binary32))
(exp.f32 (*.f32 (log.f32 alphax) #s(literal 2 binary32)))
(pow.f32 alphax #s(literal 2 binary32))
(*.f32 alphax alphax)
(*.f32 (pow.f32 alphax #s(literal 1 binary32)) (pow.f32 alphax #s(literal 1 binary32)))

simplify927.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

7288×	`-lowering-.f32`
7288×	`-lowering-.f64`
3692×	`+-lowering-+.f64`
3692×	`+-lowering-+.f32`
2500×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2156	96441
0	8053	96441

Stop Event

1×	iter limit
1×	node limit

Counts

1044 → 1044

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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(/ (* (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)))))))
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
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(* -1 (+ (/ 1 (* u0 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))
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(/ u0 (* (- 1 u0) (- (* 1/2 (/ 1 (pow alphay 2))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))
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(- (+ (* -1 (/ (+ (* -1 (/ 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)))))))
(/ 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 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 (* (- 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 (/ 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)))))))))
u0
(* u0 (+ 1 u0))
(* u0 (+ 1 (* u0 (+ 1 u0))))
(* u0 (+ 1 (* u0 (+ 1 (* u0 (+ 1 u0))))))
-1
(* -1 (+ 1 (/ 1 u0)))
(- (* -1 (/ (+ 1 (/ 1 u0)) u0)) 1)
(- (* -1 (/ (+ 1 (/ 1 u0)) (pow u0 2))) (+ 1 (/ 1 u0)))
-1
(* -1 (+ 1 (/ 1 u0)))
(- (* -1 (/ (+ 1 (/ 1 u0)) u0)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u0) (/ 1 (pow u0 2)))) u0)) 1)
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))))
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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))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))) (/ 1 (pow alphay 2))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))) (/ 1 (pow alphay 2))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))) (/ 1 (pow alphay 2))))
(* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))) (/ 1 (pow alphay 2))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))) (/ 1 (pow alphay 2))))
(* (pow alphay 2) (+ (* -1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0)))) (/ 1 (pow alphay 2))))
1
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
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(* -1/2 (/ (* (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))))
(* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))))
(* -1/2 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))) (- 1 u0))))
(* -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))))))))))))))
(* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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)))))))))
(+ (* 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))))))))))
(+ (* 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)))))))))))
(* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) 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)))))))))
(+ (* -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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(* -1/2 (/ (* (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))))
(* -1/2 (* (pow alphay 2) u0))
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(* -1/2 (* (pow alphay 2) u0))
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(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 2) u0)
(* (pow alphay 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 (* (pow alphay 2) (- (* 1/4 (/ (* (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) (- (* (pow alphay 2) (- (* -1/8 (/ (* (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)))) (* -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)))))) (* 1/2 (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))))
(* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) (* (pow alphay 2) u0)))
(/ (+ (* -4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2)))) (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))) (pow alphay 2))
(/ (- (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)) (* 8 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (* (pow alphay 4) (pow u0 3))))) (* 4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))
(/ (- (+ (* -16 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 4) (pow (- 1 u0) 4)) (* (pow alphay 6) (pow u0 4)))) (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))) (+ (* -8 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (* (pow alphay 4) (pow u0 3)))) (* 4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2)))))) (pow alphay 2))
(* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) (* (pow alphay 2) u0)))
(/ (+ (* -4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2)))) (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))) (pow alphay 2))
(/ (- (+ (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0)) (* 8 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (* (pow alphay 4) (pow u0 3))))) (* 4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))
(/ (- (+ (* -16 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 4) (pow (- 1 u0) 4)) (* (pow alphay 6) (pow u0 4)))) (* 2 (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) u0))) (+ (* -8 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (* (pow alphay 4) (pow u0 3)))) (* 4 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2)))))) (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 (* u0 (+ (* -1/4 (/ (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) (+ 1/2 (* -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 (* -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 (* -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) 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))))
(* 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))))
(* 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))))
(* 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))))
(* 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 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(* 1/2 (* (pow alphay 2) u0))
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (* -1/2 (* (/ (* (pow alphax 2) u0) (- 1 u0)) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (* (pow alphax 2) (+ (* -1/2 (* (* (pow alphax 2) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (sqrt (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))) (* -1/2 (* (/ u0 (- 1 u0)) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3))))))))
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))) (* (pow alphax 2) (+ (* -1/2 (* (/ u0 (- 1 u0)) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3))))) (* (pow alphax 2) (+ (* -1/2 (* (sqrt (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (* -1/2 (* (* (pow alphax 2) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (- 1 u0)))) (/ (pow u0 3) (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 4) (pow (- 1 u0) 3))))) (sqrt (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))))))))
(* (/ 1 alphax) (sqrt (/ (- 1 u0) u0)))
(/ (+ (sqrt (/ (- 1 u0) u0)) (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3)))))) alphax)
(/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))))) alphax)
(/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))) (* -1/2 (* (/ (+ (* 1/2 (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 4)) (pow u0 4))) (pow alphax 6)) (sqrt (/ u0 (- 1 u0)))))))) alphax)
(* -1 (* (/ 1 alphax) (sqrt (/ (- 1 u0) u0))))
(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3)))))) alphax))
(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))))) alphax))
(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))) (* -1/2 (* (/ (+ (* 1/2 (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 4)) (pow u0 4))) (pow alphax 6)) (sqrt (/ u0 (- 1 u0)))))))) alphax))
1
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))))) (* (pow alphay 2) (+ (* -1/2 (* (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3))))) (* (pow alphay 2) (+ (* -1/2 (* (sqrt (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (+ (* -1 (/ (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 2))))) (* 1/4 (/ (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 2)))))))) (* -1/2 (* (* (pow alphay 2) (+ (* 1/2 (/ (* u0 (* (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2) (+ (* -1 (/ (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 2))))) (* 1/4 (/ (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 2)))))))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) (- 1 u0))))) (/ (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 4) (pow (- 1 u0) 3)))))) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))))))))))
(* (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (* alphay (sin (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ (- 1 u0) u0)))
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(* -1 (* (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (* alphay (sin (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ (- 1 u0) u0))))
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1
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(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
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(/ (* (pow alphax 2) u0) (- 1 u0))
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(/ (* (pow alphax 2) u0) (- 1 u0))
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(/ (* (pow alphax 2) u0) (- 1 u0))
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(/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
(/ 1 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))
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(/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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1
(+ 1 (* -1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))
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1
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1
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(/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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(/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))
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(/ (- (+ (* -1 (/ (* (pow alphax 8) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8)) (* (pow alphay 6) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8)))) (/ (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (+ (* -1 (/ (* (pow alphax 6) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6)) (* (pow alphay 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (/ (* (pow alphax 4) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))))) (pow alphay 2))
1
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1
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(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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(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(* 2 u1)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)
(pow alphax 2)

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)))))))))
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(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))) (+ (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))) (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))) 2))) (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2))))))))) (* 1/2 (/ 1 (- (+ (* 1/2 (/ 1 (pow alphay 2))) (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))) (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))) (pow alphay 2)))))))))
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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) (+ (* (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)))))
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(* u0 (+ (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* u0 (+ (* -1/2 (/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))) (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))))
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(* u0 (+ (* -1/2 (/ (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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(* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))
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(+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax)))))))))
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(+ (* 1/2 (/ (pow alphay 2) (* u0 (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (+ (* 1/2 (/ (pow alphay 2) (* (pow u0 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))) (* 1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* 1/2 (PI)))) alphax))))))))))
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#s(literal 1 binary32)
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(* (/ 1 alphax) (sqrt (/ (- 1 u0) u0)))
(*.f32 (/.f32 #s(literal 1 binary32) alphax) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)))
(/ (+ (sqrt (/ (- 1 u0) u0)) (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3)))))) alphax)
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(/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))))) alphax)
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(/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))) (* -1/2 (* (/ (+ (* 1/2 (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 4)) (pow u0 4))) (pow alphax 6)) (sqrt (/ u0 (- 1 u0)))))))) alphax)
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(* -1 (* (/ 1 alphax) (sqrt (/ (- 1 u0) u0))))
(.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) alphax)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)))
(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3)))))) alphax))
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(* -1 (* (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (* alphay (sin (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ (- 1 u0) u0))))
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(* -1 (/ (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* (pow alphay 4) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1)))))))) alphay))
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(* -1 (/ (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* (pow alphay 4) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* 1/2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) (* (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (- 1 u0)))) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 4))) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (* (pow alphay 6) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1))))))))) alphay))
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(+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))
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(+ 1 (+ (/ (* (pow alphax 2) u0) (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(+ 1 (+ (/ (* (pow alphax 2) u0) (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(+ 1 (+ (/ (* (pow alphax 2) u0) (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
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(/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
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(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
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(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
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(/ (* (pow alphax 2) u0) (- 1 u0))
(/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))
(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
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(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
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(* (pow alphax 2) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))))))
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(* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
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(* u0 (+ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
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(* u0 (+ (* u0 (- (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
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(* u0 (+ (* u0 (- (* u0 (- (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
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(* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))
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(+ (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (/ (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))) u0)))
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(* u0 (+ (* -1/2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* u0 (+ (* -1/4 (+ (* -1 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (* 2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* -1/12 (* u0 (+ (* -6 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* 2 (/ (pow alphay 6) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))) (* 6 (/ (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 (+ (* -1/4 (+ (* -1 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (* 2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* u0 (+ (* -1/12 (+ (* -6 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* 2 (/ (pow alphay 6) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))) (* 6 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))) (* -1/48 (* u0 (+ (* -24 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* -12 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* -6 (/ (pow alphay 8) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 4))) (+ (* 24 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* 24 (/ (pow alphay 6) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3)))))))))))))))
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(* -1/2 (log (+ 1 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
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(* -1/2 (log (+ 1 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0))))))
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(/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))
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(* (pow alphay 2) (+ (* (pow alphay 2) (+ (* -1/2 (/ (pow u0 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (* 1/3 (/ (* (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)))))) (/ 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) (+ (* (pow alphay 2) (+ (* -1/2 (/ (pow u0 2) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)))) (* (pow alphay 2) (+ (* -1/4 (/ (* (pow alphay 2) (pow u0 4)) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 4) (pow (- 1 u0) 4)))) (* 1/3 (/ (pow u0 3) (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)))))))) (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(+ (log (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* -2 (log (/ 1 alphay))))
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(+ (log (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -2 (log (/ 1 alphay))) (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) (* (pow alphay 2) u0))))
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(+ (log (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -2 (log (/ 1 alphay))) (+ (* -1/2 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)) (* (pow alphay 4) (pow u0 2)))) (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) (* (pow alphay 2) u0)))))
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(+ (log (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -2 (log (/ 1 alphay))) (+ (* -1/2 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)) (* (pow alphay 4) (pow u0 2)))) (+ (* 1/3 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (* (pow alphay 6) (pow u0 3)))) (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) (* (pow alphay 2) u0))))))
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(+ (log (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (* -2 (log (/ -1 alphay))))
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(+ (log (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -2 (log (/ -1 alphay))) (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) (* (pow alphay 2) u0))))
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(+ (log (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -2 (log (/ -1 alphay))) (+ (* -1/2 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)) (* (pow alphay 4) (pow u0 2)))) (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) (* (pow alphay 2) u0)))))
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(+ (log (/ u0 (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))) (+ (* -2 (log (/ -1 alphay))) (+ (* -1/2 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2) (pow (- 1 u0) 2)) (* (pow alphay 4) (pow u0 2)))) (+ (* 1/3 (/ (* (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3) (pow (- 1 u0) 3)) (* (pow alphay 6) (pow u0 3)))) (/ (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)) (* (pow alphay 2) u0))))))
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(/ (* (pow alphay 2) u0) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))
(/.f32 (.f32 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)))))))
(* 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))) (* 2 (/ (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 (+ (* 1/6 (* u0 (+ (* -6 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* 2 (/ (pow alphay 6) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))) (* 6 (/ (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))) (* 2 (/ (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 (+ (* 1/2 (+ (* -1 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (* 2 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))))) (* u0 (+ (* 1/24 (* u0 (+ (* -24 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* -12 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* -6 (/ (pow alphay 8) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 4))) (+ (* 24 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))))) (* 24 (/ (pow alphay 6) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))))))))) (* 1/6 (+ (* -6 (/ (pow alphay 4) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 2))) (+ (* 2 (/ (pow alphay 6) (pow (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) 3))) (* 6 (/ (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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(log (+ 1 (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))
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(+ (log (+ 1 (* -1 (/ (pow alphay 2) (+ 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 (* -1 (/ (pow alphay 2) (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))))))))))))
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(log (+ 1 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(log (+ 1 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(log (+ 1 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(log (+ 1 (/ (* (pow alphay 2) u0) (* (+ 1/2 (* -1/2 (cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax)))))) (- 1 u0)))))
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(* 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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(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))
(atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (- 1/2 (* -2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(cos (* 2 (atan (/ (* alphay (tan (* (PI) (+ 1/2 (* 2 u1))))) alphax))))
(cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)
(pow alphax 2)
(*.f32 alphax alphax)

eval356.0ms (1.3%)

Compiler: Compiled 160433 to 6430 computations (96% saved)

prune353.0ms (1.2%)

Pruning

30 alts after pruning (24 fresh and 6 done)

	Pruned	Kept	Total
New	2042	13	2055
Fresh	5	11	16
Picked	1	4	5
Done	0	2	2
Total	2048	30	2078

Accuracy

100.0%

Counts

2078 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	50.2%	(pow.f32 (pow.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 (.f32 alphax alphax) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)))) #s(literal -1/4 binary32)) #s(literal 2 binary32))
	50.1%	(pow.f32 (+.f32 (.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32))) (/.f32 (.f32 alphax alphax) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
	97.9%	(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))
✓	99.6%	(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))
	50.1%	(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) (.f32 u0 (+.f32 #s(literal 1 binary32) (.f32 u0 (+.f32 #s(literal 1 binary32) (.f32 u0 (+.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 -1/2 binary32))
	50.1%	(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) (.f32 u0 (+.f32 #s(literal 1 binary32) (.f32 u0 (+.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 -1/2 binary32))
	50.1%	(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) (.f32 u0 (+.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 -1/2 binary32))
	88.8%	(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32))
	95.5%	(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))
	94.5%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 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 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))))
	98.2%	(/.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 #s(literal 1/2 binary32) (PI.f32))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay)))) #s(literal 1 binary32))))
	93.3%	(/.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 #s(literal 2 binary32) (.f32 u1 (PI.f32)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (.f32 alphay alphay)))) #s(literal 1 binary32))))
	93.3%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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))))
	97.7%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
	50.1%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 (/.f32 u0 (-.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)))) (*.f32 alphax alphax))))
	94.8%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
	94.8%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))))))))
✓	96.6%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
✓	96.8%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))) (-.f32 #s(literal 1 binary32) u0))))
	43.6%	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphax alphax) u0)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) alphax))) #s(literal 2 binary32))))
	95.0%	(+.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 #s(literal 1/2 binary32) (PI.f32)))) alphax))))))))
	95.9%	(+.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 #s(literal 1/2 binary32) (PI.f32)))) 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 #s(literal 1/2 binary32) (PI.f32)))) alphax)))))))))))
	96.3%	(.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 #s(literal 1/2 binary32) (PI.f32)))) alphax))))))))))
	88.8%	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))))
	93.7%	(exp.f32 (.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 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)))
	93.5%	(exp.f32 (.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (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)))
	98.2%	(exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
✓	97.9%	(exp.f32 (.f32 (log1p.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))
✓	92.0%	#s(literal 1 binary32)

Compiler

Compiled 3312 to 1115 computations (66.3% saved)

regimes213.0ms (0.8%)

Counts

56 → 1

Calls

Call 1

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

Outputs

(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))

Calls

13 calls:

18.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
16.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
16.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
15.0ms	u1
15.0ms	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))

Results

Accuracy	Segments	Branch
100.0%	1	`u0`
100.0%	1	`u1`
100.0%	1	`alphax`
100.0%	1	`alphay`
100.0%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
100.0%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
100.0%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
100.0%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
100.0%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
100.0%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
100.0%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
100.0%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
100.0%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`

Compiler

Compiled 574 to 219 computations (61.8% saved)

regimes116.0ms (0.4%)

Counts

52 → 1

Calls

Call 1

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

Outputs

(exp.f32 (*.f32 (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) (/.f32 alphax alphay))))))) (*.f32 alphay alphay))))) #s(literal -1/2 binary32)))

Calls

4 calls:

56.0ms	u1
14.0ms	u0
14.0ms	alphax
13.0ms	alphay

Results

Accuracy	Segments	Branch
99.7%	1	`u0`
99.7%	1	`u1`
99.7%	1	`alphax`
99.7%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes69.0ms (0.2%)

Counts

49 → 1

Calls

Call 1

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

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:

14.0ms	u1
14.0ms	alphax
13.0ms	alphay
13.0ms	u0

Results

Accuracy	Segments	Branch
99.6%	1	`u0`
99.6%	1	`u1`
99.6%	1	`alphax`
99.6%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes66.0ms (0.2%)

Counts

45 → 1

Calls

Call 1

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

Outputs

(/.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))))

Calls

4 calls:

14.0ms	alphay
14.0ms	u1
12.0ms	alphax
12.0ms	u0

Results

Accuracy	Segments	Branch
98.2%	1	`u0`
98.2%	1	`u1`
98.2%	1	`alphax`
98.2%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes63.0ms (0.2%)

Counts

43 → 1

Calls

Call 1

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

Outputs

(exp.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (*.f32 alphay (/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) alphax)))))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32)))

Calls

4 calls:

15.0ms	u0
13.0ms	alphax
11.0ms	alphay
11.0ms	u1

Results

Accuracy	Segments	Branch
98.2%	1	`u0`
98.2%	1	`u1`
98.2%	1	`alphax`
98.2%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes57.0ms (0.2%)

Counts

39 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

15.0ms	u0
11.0ms	alphax
10.0ms	u1
10.0ms	alphay

Results

Accuracy	Segments	Branch
98.0%	1	`u0`
98.0%	1	`u1`
98.0%	1	`alphax`
98.0%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes104.0ms (0.4%)

Counts

33 → 1

Calls

Call 1

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

Calls

4 calls:

54.0ms	u1
25.0ms	alphay
9.0ms	alphax
9.0ms	u0

Results

Accuracy	Segments	Branch
97.9%	1	`u0`
97.9%	1	`u1`
97.9%	1	`alphax`
97.9%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes62.0ms (0.2%)

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

31.0ms	alphay
7.0ms	u1
7.0ms	u0
7.0ms	alphax

Results

Accuracy	Segments	Branch
97.7%	1	`alphax`
97.7%	1	`u0`
97.7%	1	`u1`
97.7%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes26.0ms (0.1%)

Counts

18 → 1

Calls

Call 1

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

Outputs

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

Calls

4 calls:

8.0ms	alphax
5.0ms	alphay
5.0ms	u1
5.0ms	u0

Results

Accuracy	Segments	Branch
96.8%	1	`u0`
96.8%	1	`u1`
96.8%	1	`alphax`
96.8%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)
(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u0 (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 u0 (.f32 alphay alphay))) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (/.f32 (.f32 alphay (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) 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 #s(literal 1/2 binary32) (PI.f32)))) alphax))))))))

Calls

4 calls:

3.0ms	alphax
2.0ms	alphay
2.0ms	u1
2.0ms	u0

Results

Accuracy	Segments	Branch
95.0%	1	`u0`
95.0%	1	`u1`
95.0%	1	`alphax`
95.0%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes9.0ms (0%)

Accuracy

Total -1.1b remaining (-43.4%)

Threshold costs -1.1b (-43.4%)

Counts

3 → 1

Calls

Call 1

Inputs

#s(literal 1 binary32)

(pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32))

(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u0 (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))))

Outputs
#s(literal 1 binary32)

Calls

4 calls:

2.0ms	alphay
2.0ms	u1
2.0ms	u0
2.0ms	alphax

Results

Accuracy	Segments	Branch
92.0%	1	`u0`
92.0%	1	`u1`
92.0%	1	`alphax`
92.0%	1	`alphay`

Compiler

Compiled 20 to 16 computations (20% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative_binary32`
48×	`+-commutative_binary32`
18×	`sub-neg_binary32`
12×	`neg-sub0_binary32`
12×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	109	409
1	164	409
2	186	409
3	198	409
4	206	409
5	208	409

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness5.2s (18.2%)

Rules

7288×	`-lowering-.f32`
7288×	`-lowering-.f64`
6064×	`-lowering-.f32`
6064×	`-lowering-.f64`
5812×	`-lowering-.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	768	30141
1	2778	26960
0	8179	26960
0	2156	96441
0	8053	96441
0	2307	110433
1	7326	110363
0	8329	110363
0	65	712
1	443	653
2	4887	650
0	8355	650
0	53	689
1	359	607
2	3665	607
0	8147	607
0	32	81
1	68	79
2	115	75
3	175	71
4	289	71
5	952	71
6	4331	71
0	8027	71
0	2217	162960
1	7143	161466
0	8217	161466
0	30	337
1	183	225
2	1621	209
0	8470	209

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 683 to 292 computations (57.2% saved)

preprocess69.0ms (0.2%)

Compiler: Compiled 1010 to 278 computations (72.5% saved)

analyze1.6s (5.8%)

sample4.7s (16.7%)

preprocess229.0ms (0.8%)

explain513.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify196.0ms (0.7%)

localize160.0ms (0.6%)

series341.0ms (1.2%)

rewrite412.0ms (1.5%)

simplify553.0ms (2%)

eval188.0ms (0.7%)

prune208.0ms (0.7%)

simplify345.0ms (1.2%)

localize518.0ms (1.8%)

series635.0ms (2.2%)

rewrite374.0ms (1.3%)

simplify1.4s (4.9%)

eval485.0ms (1.7%)

prune273.0ms (1%)

simplify210.0ms (0.7%)

localize585.0ms (2.1%)

series757.0ms (2.7%)

rewrite683.0ms (2.4%)

simplify1.1s (4.1%)

eval437.0ms (1.5%)

prune280.0ms (1%)

simplify216.0ms (0.8%)

localize2.3s (8.2%)

series422.0ms (1.5%)

rewrite388.0ms (1.4%)

simplify927.0ms (3.3%)

eval356.0ms (1.3%)

prune353.0ms (1.2%)

regimes213.0ms (0.8%)

regimes116.0ms (0.4%)

regimes69.0ms (0.2%)

regimes66.0ms (0.2%)

regimes63.0ms (0.2%)

regimes57.0ms (0.2%)

regimes104.0ms (0.4%)

regimes62.0ms (0.2%)

regimes26.0ms (0.1%)

regimes11.0ms (0%)

regimes9.0ms (0%)

simplify17.0ms (0.1%)

soundness5.2s (18.2%)

preprocess69.0ms (0.2%)

end0.0ms (0%)

Profiling