Toniolo and Linder, Equation (3b), real

Time bar (total: 13.3s)

analyze232.0ms (1.7%)

Memory
1.0MiB live, 319.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
43.8%43.7%56.2%0.1%0%0%0%7
53.1%53%46.8%0.1%0%0%0%8
60.9%60.8%39%0.1%0%0%0%9
60.9%60.8%39%0.1%0%0%0%10
64.8%64.7%35.1%0.1%0%0%0%11
68.4%68.3%31.6%0.1%0%0%0%12
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.6s (11.9%)

Memory
80.1MiB live, 2 306.4MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sin: 599.0ms (57.5% of total)
ival-pow2: 207.0ms (19.9% of total)
ival-sqrt: 72.0ms (6.9% of total)
ival-div: 59.0ms (5.7% of total)
ival-mult: 55.0ms (5.3% of total)
ival-add: 39.0ms (3.7% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess95.0ms (0.7%)

Memory
-15.4MiB live, 59.8MiB allocated
Algorithm
1×egg-herbie
Rules
390×unsub-neg
362×times-frac
340×associate-*l*
334×associate-*r*
280×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045153
1101147
2211147
3383147
4831147
51949147
62504147
72781147
82893147
92943147
102958147
112958147
01316
02216
12816
23216
33316
03311
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
Symmetry

(abs kx)

(negabs th)

(negabs ky)

explain197.0ms (1.5%)

Memory
-3.1MiB live, 317.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-3(1.2206803758810988e-243 1.837248579153422e-160 6.263849570118033e+281)(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
00-0-(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
00-0-(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
00-0-(sin.f64 kx)
00-0-(sin.f64 th)
00-0-(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
00-0-(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
00-0-th
00-0-#s(literal 2 binary64)
00-0-(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
00-0-(sin.f64 ky)
00-0-ky
00-0-kx
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))uflow-rescue140
↳(pow.f64 (sin.f64 kx) #s(literal 2 binary64))underflow57
↳(pow.f64 (sin.f64 ky) #s(literal 2 binary64))underflow61
↳(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))underflow14
Confusion
Predicted +Predicted -
+143
-0239
Precision
1.0
Recall
0.8235294117647058
Confusion?
Predicted +Predicted MaybePredicted -
+1403
-00239
Precision?
1.0
Recall?
0.8235294117647058
Freqs
test
numberfreq
0242
114
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
81.0ms512×0valid
Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-sin: 35.0ms (57.7% of total)
ival-pow2: 11.0ms (18.1% of total)
ival-sqrt: 4.0ms (6.6% of total)
ival-div: 3.0ms (4.9% of total)
ival-add: 3.0ms (4.9% of total)
ival-mult: 3.0ms (4.9% of total)
ival-true: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify5.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓cost-diff7296
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
Rules
16×lower-*.f32
14×lower-*.f64
6×lift-sin.f64
6×*-commutative
6×lower-sin.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01366
02266
12866
23266
33366
03351
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th

localize57.0ms (0.4%)

Memory
-23.6MiB live, 93.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓accuracy99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy94.2%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
Samples
43.0ms256×0valid
Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sin: 20.0ms (61.9% of total)
ival-pow2: 6.0ms (18.6% of total)
ival-div: 2.0ms (6.2% of total)
ival-mult: 2.0ms (6.2% of total)
ival-sqrt: 2.0ms (6.2% of total)
ival-add: 1.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.3%)

Memory
29.9MiB live, 67.5MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (sin.f64 ky)>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
Outputs
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
Calls

30 calls:

TimeVariablePointExpression
4.0ms
th
@inf
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
3.0ms
ky
@inf
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
3.0ms
ky
@0
(pow (sin ky) 2)
2.0ms
ky
@0
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
2.0ms
kx
@inf
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))

rewrite347.0ms (2.6%)

Memory
11.6MiB live, 535.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 346×lower-fma.f64
4 346×lower-fma.f32
3 626×lower-*.f32
3 624×lower-*.f64
2 248×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01349
02249
16249
233849
3290249
0828434
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 294
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Outputs
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64) (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 18 binary64)) (pow.f64 (sin.f64 ky) #s(literal 18 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (+.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 2 binary64))
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(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(sin.f64 ky)
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(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 ky ky)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (+.f64 ky ky))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1 binary64))
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 kx))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (+.f64 kx kx)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (+.f64 kx kx))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 kx)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))

simplify493.0ms (3.7%)

Memory
17.8MiB live, 745.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 278×lower-fma.f64
14 278×lower-fma.f32
6 260×lower-*.f64
6 260×lower-*.f32
5 352×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03172263
110112214
238602122
378032122
081061974
Stop Event
1×iter limit
1×node limit
Counts
120 → 119
Calls
Call 1
Inputs
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
Outputs
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (*.f64 kx kx) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 kx (*.f64 kx (fma.f64 kx (*.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 ky (*.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 ky (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 th) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 ky (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/12 binary64))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/5040 binary64)))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (*.f64 (sin.f64 th) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (*.f64 ky (*.f64 ky ky)) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (sin.f64 kx) (fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) #s(literal -1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) #s(literal -1/12 binary64))) (+.f64 (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/5040 binary64) (sin.f64 kx)))) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (*.f64 ky (*.f64 ky ky)) (/.f64 ky (sin.f64 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 kx (*.f64 kx (fma.f64 (*.f64 kx kx) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1 binary64))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) ky) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) #s(literal -1/6 binary64)) ky) ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(*.f64 ky (fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/3 binary64))) ky ky))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(*.f64 (*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 ky (*.f64 ky #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) ky) ky)
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(*.f64 kx (*.f64 kx (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

eval58.0ms (0.4%)

Memory
12.5MiB live, 128.3MiB allocated
Compiler

Compiled 12 721 to 1 671 computations (86.9% saved)

prune97.0ms (0.7%)

Memory
-55.8MiB live, 148.4MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New42424448
Fresh000
Picked101
Done000
Total42524449
Accuracy
100.0%
Counts
449 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
29.7%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
72.1%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
71.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
19.6%
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
93.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
39.7%
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
72.1%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
33.1%
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
72.1%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))) (sin.f64 th))
76.3%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))
▶99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
72.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
▶48.1%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
50.5%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
30.7%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
▶72.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
▶49.1%
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th))
71.9%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
44.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
49.1%
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
45.3%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
▶26.6%
(sin.f64 th)
Compiler

Compiled 1 050 to 736 computations (29.9% saved)

simplify295.0ms (2.2%)

Memory
-13.7MiB live, 141.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓cost-diff384
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
✓cost-diff384
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
✓cost-diff0
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
✓cost-diff128
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))
✓cost-diff1024
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))
✓cost-diff0
(sin.f64 th)
✓cost-diff0
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Rules
2 616×lower-fma.f32
2 614×lower-fma.f64
1 500×lower-*.f32
1 484×lower-*.f64
694×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036394
069394
196394
2137384
3180364
4229364
5292364
6399364
7557364
8777356
91086356
101634356
112099356
122555356
133078356
143378356
153851356
164505356
174643356
184772356
194871356
204941356
215047356
225175356
235414356
245512356
255512356
05512332
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(sin.f64 th)
th
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(*.f64 ky ky)
(sin.f64 th)
th
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
#s(literal 1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(sin.f64 ky)
(sin.f64 th)
th
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(sqrt.f64 (sin.f64 ky))
(sin.f64 ky)
ky
(sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
#s(literal 1 binary64)
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
(sin.f64 th)
th
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(sin.f64 th)
th
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 ky (sin.f64 kx)))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
(/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))
(hypot.f64 ky (sin.f64 kx))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(*.f64 ky ky)
(sin.f64 th)
th
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 2 binary64) (cos.f64 (+.f64 kx kx))) (cos.f64 (+.f64 ky ky))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 2 binary64) (cos.f64 (+.f64 kx kx))) (cos.f64 (+.f64 ky ky))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 2 binary64) (cos.f64 (+.f64 kx kx))) (cos.f64 (+.f64 ky ky)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(/.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal 2 binary64) (cos.f64 (+.f64 kx kx))) (cos.f64 (+.f64 ky ky))))
#s(literal 1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(sin.f64 ky)
(sin.f64 th)
th
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))) (*.f64 (sin.f64 th) (sqrt.f64 (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))))
(sqrt.f64 (sin.f64 ky))
(sin.f64 ky)
ky
(sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))))
(/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
#s(literal 1 binary64)
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
(sin.f64 th)
th

localize257.0ms (1.9%)

Memory
10.5MiB live, 406.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
✓accuracy94.0%
(/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
✓accuracy80.8%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy75.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓accuracy99.7%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
✓accuracy93.2%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
✓accuracy80.8%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy75.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓accuracy99.8%
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
✓accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
✓accuracy99.7%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓accuracy84.5%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))
✓accuracy100.0%
(sin.f64 th)
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.8%
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓accuracy99.8%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Samples
82.0ms77×2valid
57.0ms78×1valid
25.0ms59×0invalid
24.0ms42×0valid
Compiler

Compiled 427 to 39 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-cos: 32.0ms (22.4% of total)
ival-sin: 24.0ms (16.8% of total)
ival-mult: 22.0ms (15.4% of total)
adjust: 15.0ms (10.5% of total)
ival-div: 12.0ms (8.4% of total)
ival-sqrt: 12.0ms (8.4% of total)
ival-add: 9.0ms (6.3% of total)
ival-hypot: 8.0ms (5.6% of total)
ival-pow2: 4.0ms (2.8% of total)
ival-sub: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series227.0ms (1.7%)

Memory
16.6MiB live, 240.5MiB allocated
Counts
21 → 480
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (sin.f64 ky)>
#<alt (hypot.f64 (sin.f64 ky) (sin.f64 kx))>
#<alt (sin.f64 th)>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))>
#<alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))>
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))>
#<alt (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))>
#<alt (*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th))>
#<alt (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))>
#<alt (sin.f64 kx)>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))>
#<alt (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))>
Outputs
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt ky>
#<alt (+ ky (* 1/2 (/ (pow kx 2) ky)))>
#<alt (+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))>
#<alt (+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt ky>
#<alt (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 ky)>
#<alt (* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))>
#<alt (pow ky 2)>
#<alt (+ (pow kx 2) (pow ky 2))>
#<alt (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))>
#<alt (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (pow (sin kx) 2)>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (+ (pow ky 2) (pow (sin kx) 2))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) ky)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)>
#<alt (* -1 (/ (* (sin ky) (sin th)) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))>
#<alt (/ (* (sin ky) (sin th)) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (/ (sin ky) ky)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)>
#<alt (* -1 (/ (sin ky) ky))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky))>
#<alt (/ (sin ky) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
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#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))>
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#<alt (* 1/2 (- 1 (cos (* 2 kx))))>
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#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))>
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#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
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#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
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#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ 2 (- 1 (cos (* 2 kx))))>
#<alt (+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
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#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
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#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (pow ky 2)>
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#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
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#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
#<alt (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))>
#<alt (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))>
#<alt (* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))>
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#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (* 2 (pow kx 2))>
#<alt (* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))>
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))>
#<alt (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))>
#<alt (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))>
#<alt (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
#<alt (+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))>
#<alt (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))>
#<alt (* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))>
#<alt (* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* 2 (/ ky (- 1 (cos (* 2 kx)))))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* 1/60 (/ 1 (- 1 (cos (* 2 kx))))) (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (* -2 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/2520 (/ 1 (- 1 (cos (* 2 kx))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx))))) (* 2 (/ (- (+ (* 1/60 (/ 1 (- 1 (cos (* 2 kx))))) (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (* -2 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx)))))) (- 1 (cos (* 2 kx)))))))))) (+ (* 1/60 (/ 1 (- 1 (cos (* 2 kx))))) (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* -2 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (+ (* -1 (/ (* (pow kx 2) (sin ky)) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* -1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))))) (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1 (/ (+ (* -1 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* -1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (+ (* -1 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* -1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))))) (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
Calls

120 calls:

TimeVariablePointExpression
42.0ms
kx
@inf
(* (* (sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) (sin ky)) (sin th))
38.0ms
kx
@inf
(+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky)))))
9.0ms
ky
@-inf
(* (* (sqrt (sin ky)) (sqrt (/ (sin ky) (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky)))))))) (sin th))
7.0ms
ky
@0
(/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))
6.0ms
kx
@-inf
(* (sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) (sin ky))

rewrite111.0ms (0.8%)

Memory
0.8MiB live, 191.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
794×lower-fma.f32
792×lower-fma.f64
692×lower-*.f32
676×lower-*.f64
602×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036262
069264
1237217
01764201
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
21 → 315
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 th)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(sin.f64 kx)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
Outputs
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
(sin.f64 ky)
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (sin.f64 ky))
(hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1 binary64)))
(sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(sin.f64 th)
(exp.f64 (*.f64 (log.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(hypot.f64 ky (sin.f64 ky))
(hypot.f64 ky (sin.f64 kx))
(hypot.f64 ky (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 ky (pow.f64 (sin.f64 ky) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 ky) ky)
(hypot.f64 (sin.f64 ky) (pow.f64 ky #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) ky)
(hypot.f64 (sin.f64 kx) (pow.f64 ky #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) ky)
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (pow.f64 ky #s(literal 1 binary64)))
(hypot.f64 (pow.f64 ky #s(literal 1 binary64)) (sin.f64 ky))
(hypot.f64 (pow.f64 ky #s(literal 1 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 ky #s(literal 1 binary64)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (pow.f64 ky #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) ky)
(hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (pow.f64 ky #s(literal 1 binary64)))
(sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 ky (*.f64 ky ky)) (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (*.f64 ky ky) (-.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 ky (*.f64 ky (*.f64 ky ky))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 ky ky)))))
(pow.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 ky ky))
(-.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (*.f64 ky ky)))
(-.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 ky ky)))) (/.f64 (*.f64 ky (*.f64 ky (*.f64 ky ky))) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 ky ky)))))
(-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
(fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (sin.f64 ky) (sin.f64 ky) (*.f64 ky ky))
(fma.f64 (sin.f64 kx) (sin.f64 kx) (*.f64 ky ky))
(fma.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 ky ky))
(fma.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 ky ky))
(fma.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (*.f64 ky ky))
(fma.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))) (*.f64 ky ky))
(fma.f64 (pow.f64 ky #s(literal 1 binary64)) (pow.f64 ky #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1 binary64)) (*.f64 ky ky))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 ky ky) (-.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (fma.f64 (*.f64 ky (*.f64 ky ky)) (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 ky ky))) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 ky (*.f64 ky (*.f64 ky ky))))))
(/.f64 (fma.f64 (*.f64 ky (*.f64 ky ky)) (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (fma.f64 (*.f64 ky ky) (-.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(/.f64 (fma.f64 (*.f64 ky (*.f64 ky ky)) (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (fma.f64 ky (*.f64 ky (*.f64 ky ky)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 ky (*.f64 ky (*.f64 ky ky)))) (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (neg.f64 (fma.f64 (*.f64 ky (*.f64 ky ky)) (*.f64 ky (*.f64 ky ky)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 ky ky) (-.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (*.f64 ky (*.f64 ky (*.f64 ky ky))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64) (*.f64 ky ky)))))
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(pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
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(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)))
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(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))))
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(/.f64 (sin.f64 ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 ky)))
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(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
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(*.f64 (/.f64 (sin.f64 ky) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))

simplify543.0ms (4.1%)

Memory
2.9MiB live, 839.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 816×lower-fma.f64
8 816×lower-fma.f32
7 276×lower-+.f64
7 276×lower-+.f32
6 846×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102714006
1338313552
0815312584
Stop Event
1×iter limit
1×node limit
Counts
480 → 475
Calls
Call 1
Inputs
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
(pow ky 2)
(+ (pow kx 2) (pow ky 2))
(+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))
(+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))
(+ (pow ky 2) (pow (sin kx) 2))
(+ (pow ky 2) (pow (sin kx) 2))
(+ (pow ky 2) (pow (sin kx) 2))
(+ (pow ky 2) (pow (sin kx) 2))
(+ (pow ky 2) (pow (sin kx) 2))
(+ (pow ky 2) (pow (sin kx) 2))
(+ (pow ky 2) (pow (sin kx) 2))
(+ (pow ky 2) (pow (sin kx) 2))
(pow (sin kx) 2)
(+ (pow ky 2) (pow (sin kx) 2))
(+ (pow ky 2) (pow (sin kx) 2))
(+ (pow ky 2) (pow (sin kx) 2))
(pow ky 2)
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(pow ky 2)
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) ky)
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(/ (* (sin ky) (sin th)) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(/ (sin ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)
(* -1 (/ (sin ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky))
(/ (sin ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(* 1/2 (- 1 (cos (* 2 kx))))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 2 (- 1 (cos (* 2 kx))))
(+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(* 2 (pow kx 2))
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (neg (* -2 kx))))
(- 1 (cos (neg (* -2 kx))))
(- 1 (cos (neg (* -2 kx))))
(- 1 (cos (neg (* -2 kx))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))
(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))
(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* 2 (/ ky (- 1 (cos (* 2 kx)))))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* 1/60 (/ 1 (- 1 (cos (* 2 kx))))) (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (* -2 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/2520 (/ 1 (- 1 (cos (* 2 kx))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx))))) (* 2 (/ (- (+ (* 1/60 (/ 1 (- 1 (cos (* 2 kx))))) (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (* -2 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx)))))) (- 1 (cos (* 2 kx)))))))))) (+ (* 1/60 (/ 1 (- 1 (cos (* 2 kx))))) (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* -2 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(+ (* -1 (/ (* (pow kx 2) (sin ky)) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* -1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))))) (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1 (/ (+ (* -1 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* -1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (+ (* -1 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* -1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))))) (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
Outputs
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (fma.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))) (sin.f64 th))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (-.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 ky (sin.f64 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
(sin th)
(sin.f64 th)
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky)))) ky) (/.f64 #s(literal 1/2 binary64) ky)) ky)
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) (*.f64 ky ky)))) ky) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky)) (/.f64 #s(literal 1/2 binary64) ky)) ky)
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(fma.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)) ky)
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(fma.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) ky)
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(fma.f64 ky (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))))) ky)
(* -1 ky)
(neg.f64 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(neg.f64 (fma.f64 ky (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 ky ky)) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(neg.f64 (fma.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
(neg.f64 (fma.f64 ky (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))))) ky))
(pow ky 2)
(*.f64 ky ky)
(+ (pow kx 2) (pow ky 2))
(fma.f64 ky ky (*.f64 kx kx))
(+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))
(+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 ky ky))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (pow ky 2) (pow (sin kx) 2))
(fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
(* (pow ky 2) (+ 1 (/ (pow (sin kx) 2) (pow ky 2))))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 7 binary64))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky))) (*.f64 (sin.f64 th) (sin.f64 ky))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky)))) (*.f64 (sin.f64 th) (sin.f64 ky))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky)))) (*.f64 (sin.f64 th) (sin.f64 ky)))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky))) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky)))) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky ky)))) (*.f64 (sin.f64 th) (sin.f64 ky)))) (neg.f64 ky))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 ky (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky))))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 ky ky)) (/.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 ky #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 8 binary64))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) ky) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky))))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (-.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))) (/.f64 #s(literal 5/16 binary64) (pow.f64 (sin.f64 kx) #s(literal 7 binary64)))) (neg.f64 (*.f64 ky ky)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 ky (sin.f64 kx)))
(/ (sin ky) ky)
(/.f64 (sin.f64 ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (*.f64 ky ky))) (sin.f64 ky)) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (*.f64 ky ky)))) (sin.f64 ky)) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 (sin.f64 ky) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (*.f64 ky ky))))) (sin.f64 ky)) ky)
(* -1 (/ (sin ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (*.f64 ky ky))) (sin.f64 ky)) (neg.f64 ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (*.f64 ky ky)))) (sin.f64 ky)) (neg.f64 ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 (sin.f64 ky) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (*.f64 ky ky))))) (sin.f64 ky)) (neg.f64 ky))
(/ (sin ky) ky)
(/.f64 (sin.f64 ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (*.f64 ky (*.f64 ky ky))) (/.f64 (sin.f64 ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 ky) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))))) (/.f64 (sin.f64 ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky (sin.f64 ky)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 ky ky)) (/.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 ky #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky)))) (/.f64 (sin.f64 ky) ky))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
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(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) #s(literal -1/60 binary64) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) #s(literal -1/60 binary64) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
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(+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
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(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
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(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
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(sin kx)
(sin.f64 kx)
(sin kx)
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(sin kx)
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(sin kx)
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(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
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(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
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(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
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(pow (sin kx) 2)
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(pow (sin kx) 2)
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(pow (sin kx) 2)
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(pow (sin kx) 2)
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(pow (sin kx) 2)
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(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
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(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
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(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* 2 (/ ky (- 1 (cos (* 2 kx)))))
(/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))))
(*.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* 1/60 (/ 1 (- 1 (cos (* 2 kx))))) (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (* -2 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/60 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (+.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (- (+ (* -1 (* (pow ky 2) (+ (* 1/2520 (/ 1 (- 1 (cos (* 2 kx))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2/3 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx))))) (* 2 (/ (- (+ (* 1/60 (/ 1 (- 1 (cos (* 2 kx))))) (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (* -2 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx)))))) (- 1 (cos (* 2 kx)))))))))) (+ (* 1/60 (/ 1 (- 1 (cos (* 2 kx))))) (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* -2 (/ (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))) (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (/ 1 (- 1 (cos (* 2 kx))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2)))))) (* 2 (/ 1 (- 1 (cos (* 2 kx)))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (+.f64 (/.f64 #s(literal 1/2520 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/60 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 2/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)))))) (neg.f64 (*.f64 ky ky)) (+.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/60 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal -4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (neg.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ (* -1 (/ (* (pow kx 2) (sin ky)) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(-.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* -1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))))) (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(fma.f64 (*.f64 kx kx) (neg.f64 (fma.f64 (*.f64 kx kx) (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 ky)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1 (/ (+ (* -1 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* -1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (+ (* -1 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (* -1/3 (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))))) (/ (sin ky) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ (sin ky) (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (neg.f64 (fma.f64 (*.f64 kx kx) (-.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 2/45 binary64) (sin.f64 ky)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 ky)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (*.f64 #s(literal -1/3 binary64) (sin.f64 ky)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (/.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 (sin.f64 ky) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ (sin ky) (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))

eval151.0ms (1.1%)

Memory
32.4MiB live, 372.8MiB allocated
Compiler

Compiled 30 703 to 2 875 computations (90.6% saved)

prune196.0ms (1.5%)

Memory
-29.9MiB live, 373.2MiB allocated
Pruning

43 alts after pruning (41 fresh and 2 done)

PrunedKeptTotal
New1 022271 049
Fresh51419
Picked325
Done000
Total1 030431 073
Accuracy
100.0%
Counts
1 073 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.1%
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
▶12.3%
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
72.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
12.5%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
29.7%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
72.1%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
71.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
19.6%
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
46.0%
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
▶93.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
39.7%
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
▶72.1%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
72.1%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))) (sin.f64 th))
76.3%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))
56.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
48.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
54.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
72.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
11.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
31.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
43.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
13.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
▶33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
15.9%
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
30.7%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
25.1%
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
30.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
72.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
▶36.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
26.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
25.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
25.2%
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
49.1%
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sin.f64 th))
46.3%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
26.5%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
47.0%
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 th))
24.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
36.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
44.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
11.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
15.9%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
✓26.6%
(sin.f64 th)
Compiler

Compiled 1 685 to 1 191 computations (29.3% saved)

simplify148.0ms (1.1%)

Memory
-15.0MiB live, 142.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓cost-diff384
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
✓cost-diff384
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
✓cost-diff0
(sin.f64 kx)
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(/.f64 (sin.f64 ky) (sin.f64 kx))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓cost-diff0
(*.f64 th th)
✓cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
✓cost-diff0
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
✓cost-diff7296
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
Rules
1 804×lower-fma.f32
1 800×lower-fma.f64
1 312×lower-*.f32
1 296×lower-*.f64
594×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039410
072398
1119398
2244386
3613368
41335368
51565368
61683368
71840368
82055360
92343360
102858360
113242360
123357360
133367360
143375360
153381360
163381360
03381335
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
#s(literal -1/6 binary64)
(*.f64 th th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
#s(literal 1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(sin.f64 ky)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
#s(literal -1/6 binary64)
(*.f64 th th)
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(sin.f64 th)
th
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
#s(literal 1 binary64)
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(sin.f64 ky)
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(sin.f64 ky)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(*.f64 th (*.f64 th #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 th th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
ky
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))
#s(literal 1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(sin.f64 ky)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(*.f64 th (*.f64 th #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 th th)
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))))
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))))
(sin.f64 th)
th
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
#s(literal 1 binary64)
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(sin.f64 ky)

localize397.0ms (3%)

Memory
33.0MiB live, 469.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
✓accuracy94.2%
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
✓accuracy75.9%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy74.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓accuracy96.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓accuracy93.2%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
✓accuracy75.9%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy74.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓accuracy100.0%
(sin.f64 ky)
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.7%
(/.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.6%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
✓accuracy100.0%
(*.f64 th th)
✓accuracy99.9%
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
✓accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
✓accuracy99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
✓accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy94.2%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
Samples
137.0ms98×2valid
68.0ms83×1valid
42.0ms75×0valid
Compiler

Compiled 424 to 43 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 172.0ms
ival-cos: 36.0ms (21% of total)
ival-mult: 31.0ms (18.1% of total)
ival-sin: 25.0ms (14.6% of total)
adjust: 17.0ms (9.9% of total)
ival-div: 17.0ms (9.9% of total)
ival-add: 13.0ms (7.6% of total)
const: 10.0ms (5.8% of total)
ival-sqrt: 10.0ms (5.8% of total)
ival-pow2: 8.0ms (4.7% of total)
ival-sub: 3.0ms (1.7% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series118.0ms (0.9%)

Memory
-7.0MiB live, 271.7MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))>
#<alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 th th))>
#<alt (*.f64 th th)>
#<alt (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (sin.f64 kx))>
#<alt (sin.f64 ky)>
#<alt (sin.f64 kx)>
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))>
#<alt (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))>
#<alt (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))>
#<alt (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))>
#<alt (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))>
Outputs
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* -1/6 (pow th 3))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* th (sin ky)) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)>
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)>
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))>
#<alt (* 1/2 (- 1 (cos (* 2 kx))))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))>
#<alt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ 2 (- 1 (cos (* 2 kx))))>
#<alt (+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
#<alt (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))>
#<alt (+ (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* ky (* (sqrt 2) (+ th (* -1/6 (pow th 3))))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (* ky (+ (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))>
#<alt (* ky (+ (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (+ th (* -1/6 (pow th 3))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))>
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#<alt (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* -2 (* (/ (* (pow ky 2) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))>
#<alt (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))>
#<alt (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (* 2 (pow kx 2))>
#<alt (* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))>
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))>
#<alt (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))>
#<alt (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))>
#<alt (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))>
#<alt (+ (* 1/2 (* (/ (pow ky 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))))>
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))>
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
Calls

117 calls:

TimeVariablePointExpression
4.0ms
th
@0
(* (/ (sin ky) (sin kx)) (sin th))
3.0ms
ky
@0
(sqrt (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))
3.0ms
th
@-inf
(* (* (sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) (sin ky)) (+ (* th (* -1/6 (* th th))) th))
3.0ms
kx
@0
(* (* (sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) (sin ky)) (+ (* th (* -1/6 (* th th))) th))
3.0ms
ky
@0
(* (/ (sin ky) (sin kx)) (sin th))

rewrite117.0ms (0.9%)

Memory
-9.4MiB live, 147.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
938×lower-*.f32
922×lower-*.f64
734×lower-fma.f32
730×lower-fma.f64
690×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039252
072240
1264235
01852210
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
22 → 360
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(*.f64 th th)
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
(sin.f64 kx)
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
Outputs
(exp.f64 (*.f64 (log.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))))
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/2 binary64))
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(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th))))
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sin.f64 ky))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sin.f64 ky))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 kx))) #s(literal 2 binary64))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))))
(*.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sin.f64 ky))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sin.f64 ky))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(/.f64 (*.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 kx))) #s(literal 2 binary64))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))))
(*.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 kx kx))))
(+.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) (neg.f64 (cos.f64 (+.f64 kx kx)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 kx kx)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 kx kx))) (neg.f64 (cos.f64 (+.f64 kx kx))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 kx kx)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))

simplify600.0ms (4.5%)

Memory
19.5MiB live, 574.5MiB allocated
Algorithm
1×egg-herbie
Rules
8 212×lower-fma.f64
8 212×lower-fma.f32
7 070×lower-*.f64
7 070×lower-*.f32
6 486×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095711823
1317311223
0814610397
Stop Event
1×iter limit
1×node limit
Counts
468 → 464
Calls
Call 1
Inputs
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* th (sin ky)) (sin kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ ky (sin kx))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(* 1/2 (- 1 (cos (* 2 kx))))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 2 (- 1 (cos (* 2 kx))))
(+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* ky (* (sqrt 2) (+ th (* -1/6 (pow th 3))))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (+ th (* -1/6 (pow th 3))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (+ th (* -1/6 (pow th 3))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (+ th (* -1/6 (pow th 3))) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (+ th (* -1/6 (pow th 3))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* th (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* -2 (* (/ (* (pow ky 2) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))
(+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))
(+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(* 2 (pow kx 2))
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (neg (* -2 kx))))
(- 1 (cos (neg (* -2 kx))))
(- 1 (cos (neg (* -2 kx))))
(- 1 (cos (neg (* -2 kx))))
(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))
(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))
(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))
(+ (* 1/2 (* (/ (pow ky 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
Outputs
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 ky ky) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 ky ky) (sin.f64 kx))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (*.f64 (sin.f64 th) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64) (/.f64 (*.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 (sin.f64 ky) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 (sin.f64 ky) #s(literal 1/120 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(*.f64 ky (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 ky (sin.f64 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(* th (+ 1 (* -1/6 (pow th 2))))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(* th (+ 1 (* -1/6 (pow th 2))))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(* -1/6 (pow th 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(* -1/6 (pow th 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 th th))) (neg.f64 (*.f64 th (*.f64 th th))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 th th))) (neg.f64 (*.f64 th (*.f64 th th))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 th th))) (neg.f64 (*.f64 th (*.f64 th th))))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(pow th 2)
(*.f64 th th)
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (sin.f64 kx)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 7/360 binary64)) (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (neg.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) #s(literal -7/360 binary64))) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) #s(literal 1/840 binary64))))) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 7/360 binary64))) (*.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (sin.f64 th))) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* th (sin ky)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (sin.f64 kx))))) (/.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(fma.f64 ky (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 kx)) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx)))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) kx)
(/.f64 (sin.f64 ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (sin.f64 ky) #s(literal 1/6 binary64) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) #s(literal 7/360 binary64)))) (sin.f64 ky)) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (sin.f64 ky) #s(literal 7/360 binary64) (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 ky) #s(literal -7/360 binary64)) (*.f64 (sin.f64 ky) #s(literal 1/840 binary64))) (neg.f64 (*.f64 kx kx)))) (*.f64 (sin.f64 ky) #s(literal 1/6 binary64))) (sin.f64 ky)) kx)
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/ (sin ky) (sin kx))
(/.f64 (sin.f64 ky) (sin.f64 kx))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx)
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(fma.f64 kx (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* 1/2 (- 1 (cos (* 2 kx))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 2/45 binary64) (*.f64 ky ky) #s(literal -1/3 binary64)) #s(literal 1 binary64))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (/.f64 (*.f64 kx kx) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64))))) (neg.f64 (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(/ 2 (- 1 (cos (* 2 kx))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
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(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
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(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
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(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
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(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
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(+ (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
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(+ (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
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(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* ky (* (sqrt 2) (+ th (* -1/6 (pow th 3))))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(* ky (+ (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* ky (+ (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (+ th (* -1/6 (pow th 3))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* ky (+ (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (+ th (* -1/6 (pow th 3))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (+ th (* -1/6 (pow th 3))) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (+ th (* -1/6 (pow th 3))) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (+ th (* -1/6 (pow th 3))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sqrt 2) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/12 binary64) (*.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) #s(literal -1/60 binary64) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th (*.f64 th th)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 ky) #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (*.f64 th th)))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 ky) #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (*.f64 th th)))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 ky) #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (*.f64 th th)))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th (*.f64 th th)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))
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(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 ky) #s(literal 1/6 binary64) (neg.f64 (/.f64 (sin.f64 ky) (*.f64 th th))))) (neg.f64 (*.f64 th (*.f64 th th))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 (sin.f64 ky) #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 (sin.f64 ky) #s(literal 1/120 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
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(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
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(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/12 binary64) (*.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/60 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))
(*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* th (+ (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin th) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
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(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* 1/2 (* (/ (pow ky 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky ky) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))
(fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (/.f64 (*.f64 ky ky) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal -1/6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))

eval251.0ms (1.9%)

Memory
5.6MiB live, 287.8MiB allocated
Compiler

Compiled 33 210 to 2 699 computations (91.9% saved)

prune228.0ms (1.7%)

Memory
2.1MiB live, 318.0MiB allocated
Pruning

70 alts after pruning (63 fresh and 7 done)

PrunedKeptTotal
New1 082361 118
Fresh92736
Picked055
Done022
Total1 091701 161
Accuracy
100.0%
Counts
1 161 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.3%
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
12.3%
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
12.1%
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
✓12.3%
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
12.3%
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
3.9%
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
13.7%
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
21.8%
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
16.5%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
72.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
32.6%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
16.8%
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
▶29.7%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
72.1%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
33.7%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
3.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
13.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
71.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
32.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
▶99.4%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓93.6%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
26.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
22.8%
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
39.7%
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
30.4%
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
16.6%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
✓72.1%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
26.7%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
30.4%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
72.1%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))) (sin.f64 th))
56.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
▶48.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
54.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
72.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
11.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
31.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
43.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
✓33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
27.4%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
30.7%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
13.7%
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
▶33.7%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
14.9%
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
25.1%
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
17.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
30.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
35.9%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
72.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
✓36.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
16.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
13.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
26.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
25.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
49.1%
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sin.f64 th))
26.5%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
12.9%
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
47.0%
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 th))
32.6%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
36.4%
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
4.8%
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
36.5%
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
24.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
44.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
11.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
33.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
15.9%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
27.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
▶11.2%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
✓26.6%
(sin.f64 th)
Compiler

Compiled 2 810 to 1 820 computations (35.2% saved)

simplify46.0ms (0.3%)

Memory
-6.1MiB live, 69.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓cost-diff0
(sin.f64 kx)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
✓cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky))
✓cost-diff0
(sin.f64 kx)
✓cost-diff0
(sin.f64 th)
✓cost-diff0
(*.f64 ky (sin.f64 th))
✓cost-diff0
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
✓cost-diff0
(*.f64 th th)
✓cost-diff0
(*.f64 th (*.f64 th th))
✓cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓cost-diff0
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
Rules
1 008×times-frac
800×lower-*.f32
782×lower-*.f64
394×associate-*r*
316×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025172
049152
191150
2186150
3466150
41358150
51686150
61690150
71691150
81691150
01691148
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
#s(literal -1/6 binary64)
(*.f64 th (*.f64 th th))
th
(*.f64 th th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (sin.f64 th))
ky
(sin.f64 th)
th
(sin.f64 kx)
kx
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
#s(literal 1 binary64)
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(sin.f64 th)
th
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
#s(literal -1/6 binary64)
(*.f64 th th)
Outputs
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(sin.f64 ky)
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))
#s(literal -1/6 binary64)
(*.f64 th (*.f64 th th))
th
(*.f64 th th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (sin.f64 th))
ky
(sin.f64 th)
th
(sin.f64 kx)
kx
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (sin.f64 kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
#s(literal 1 binary64)
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(sin.f64 th)
th
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th)
th
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(*.f64 th (*.f64 th #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 th th)

localize126.0ms (0.9%)

Memory
-21.0MiB live, 231.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.7%
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓accuracy99.7%
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
✓accuracy96.5%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
✓accuracy99.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky))
✓accuracy100.0%
(sin.f64 th)
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.8%
(*.f64 ky (sin.f64 th))
✓accuracy98.1%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
✓accuracy100.0%
(*.f64 th th)
✓accuracy99.9%
(*.f64 th (*.f64 th th))
✓accuracy99.9%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
✓accuracy99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓accuracy99.7%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
Samples
91.0ms256×0valid
Compiler

Compiled 218 to 28 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-div: 22.0ms (31.6% of total)
ival-sin: 17.0ms (24.4% of total)
ival-mult: 16.0ms (23% of total)
ival-hypot: 9.0ms (12.9% of total)
const: 4.0ms (5.7% of total)
ival-add: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series89.0ms (0.7%)

Memory
-6.8MiB live, 187.0MiB allocated
Counts
19 → 384
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))>
#<alt (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))>
#<alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 ky))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))>
#<alt (*.f64 th (*.f64 th th))>
#<alt (*.f64 th th)>
#<alt (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))>
#<alt (*.f64 ky (sin.f64 th))>
#<alt (sin.f64 th)>
#<alt (sin.f64 kx)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky))>
#<alt (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))>
#<alt (/.f64 #s(literal 1 binary64) (sin.f64 kx))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))>
#<alt (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (sin.f64 ky)>
#<alt (hypot.f64 (sin.f64 ky) (sin.f64 kx))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 th th))>
Outputs
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ 1 ky)>
#<alt (/ (+ 1 (* 1/6 (pow ky 2))) ky)>
#<alt (/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)>
#<alt (/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky th) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)>
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)>
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky th)>
#<alt (* th (+ ky (* -1/6 (* ky (pow th 2)))))>
#<alt (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* 1/120 (* ky (pow th 2)))))))>
#<alt (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* (pow th 2) (+ (* -1/5040 (* ky (pow th 2))) (* 1/120 ky)))))))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt (* ky (sin th))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)>
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)>
#<alt (/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (sin ky) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* th (sin ky)) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ 1 kx)>
#<alt (/ (+ 1 (* 1/6 (pow kx 2))) kx)>
#<alt (/ (+ 1 (* (pow kx 2) (+ 1/6 (* 7/360 (pow kx 2))))) kx)>
#<alt (/ (+ 1 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 7/360 (* 31/15120 (pow kx 2))))))) kx)>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (/ 1 (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (/ th (sin kx))))>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (sin kx))))) (/ th (sin kx)))))>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx)))))>
#<alt (* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (* -1/5040 (/ (+ th (* -1/6 (pow th 3))) (sin kx)))))))))))))) (/ th (sin kx)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (+ th (* -1/6 (pow th 3)))>
#<alt (+ th (+ (* -1/2 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 2))) (* -1/6 (pow th 3))))>
#<alt (+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
Calls

96 calls:

TimeVariablePointExpression
19.0ms
ky
@0
(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (+ (* th (* -1/6 (* th th))) th))
4.0ms
kx
@-inf
(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (+ (* th (* -1/6 (* th th))) th))
3.0ms
th
@-inf
(* (/ (/ 1 (/ 1 (sin ky))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))
2.0ms
ky
@inf
(* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (+ (* th (* -1/6 (* th th))) th))
2.0ms
ky
@inf
(* ky (sin th))

rewrite361.0ms (2.7%)

Memory
22.4MiB live, 493.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 974×lower-fma.f32
3 972×lower-fma.f64
3 264×lower-*.f32
3 246×lower-*.f64
2 936×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025125
049105
1175104
21140104
09042103
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 603
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 th th))
(*.f64 th th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (sin.f64 th))
(sin.f64 th)
(sin.f64 kx)
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
Outputs
(exp.f64 (log.f64 (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 ky)))
(sin.f64 ky)
(sin.f64 kx)
(neg.f64 (neg.f64 (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (sin.f64 ky) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 ky)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))))) (sin.f64 th))))
(neg.f64 (*.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)))))))
(neg.f64 (*.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))))) (sin.f64 th)))
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(*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
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(*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal 1/4 binary64)))
(*.f64 th (*.f64 th #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(*.f64 (*.f64 th th) #s(literal -1/6 binary64))
(*.f64 (*.f64 th #s(literal -1/6 binary64)) th)

simplify480.0ms (3.6%)

Memory
25.6MiB live, 888.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 862×lower-fma.f64
12 862×lower-fma.f32
8 990×lower-*.f64
8 990×lower-*.f32
4 224×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06176172
120635692
279495660
081185335
Stop Event
1×iter limit
1×node limit
Counts
384 → 380
Calls
Call 1
Inputs
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ 1 ky)
(/ (+ 1 (* 1/6 (pow ky 2))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky th) (sin kx))
(* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky th)
(* th (+ ky (* -1/6 (* ky (pow th 2)))))
(* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* 1/120 (* ky (pow th 2)))))))
(* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* (pow th 2) (+ (* -1/5040 (* ky (pow th 2))) (* 1/120 ky)))))))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
(* ky (sin th))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(/ (sin ky) kx)
(/ (+ (sin ky) (* 1/6 (* (pow kx 2) (sin ky)))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/ (+ (sin ky) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (sin ky)) (+ (* 1/720 (sin ky)) (* 1/6 (+ (* -1/36 (sin ky)) (* 1/120 (sin ky)))))))) (+ (* -1/36 (sin ky)) (* 1/120 (sin ky))))) (* -1/6 (sin ky))))) kx)
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ ky (sin kx))
(* ky (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* 1/120 (/ (pow ky 2) (sin kx))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/5040 (/ (pow ky 2) (sin kx))) (* 1/120 (/ 1 (sin kx))))) (* 1/6 (/ 1 (sin kx))))) (/ 1 (sin kx))))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (sin ky) (sin kx))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* th (sin ky)) (sin kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ 1 kx)
(/ (+ 1 (* 1/6 (pow kx 2))) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* 7/360 (pow kx 2))))) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 7/360 (* 31/15120 (pow kx 2))))))) kx)
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(/ 1 (sin kx))
(* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (/ th (sin kx))))
(* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (sin kx))))) (/ th (sin kx)))))
(* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx)))))
(* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (* -1/5040 (/ (+ th (* -1/6 (pow th 3))) (sin kx)))))))))))))) (/ th (sin kx)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(+ th (* -1/6 (pow th 3)))
(+ th (+ (* -1/2 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 2))) (* -1/6 (pow th 3))))
(+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
Outputs
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 ky (*.f64 ky #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 ky (*.f64 ky #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 ky (*.f64 ky ky)) ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 ky (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (sin.f64 th))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64) (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 th th)) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 th th) (*.f64 th th)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 (*.f64 ky (neg.f64 (*.f64 ky ky))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 (-.f64 (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky (*.f64 ky ky)) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 (-.f64 (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (*.f64 (sin.f64 kx) #s(literal -1/2 binary64)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal -1/12 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky (*.f64 ky ky)) (/.f64 ky (sin.f64 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
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(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* th (sin ky)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(*.f64 th (fma.f64 (*.f64 th th) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx)) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 th th)) (sin.f64 ky)) (sin.f64 kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx))) (/.f64 (sin.f64 ky) (sin.f64 kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ 1 kx)
(/.f64 #s(literal 1 binary64) kx)
(/ (+ 1 (* 1/6 (pow kx 2))) kx)
(/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* 7/360 (pow kx 2))))) kx)
(/.f64 (fma.f64 kx (*.f64 kx (fma.f64 (*.f64 kx kx) #s(literal 7/360 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)) kx)
(/ (+ 1 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 7/360 (* 31/15120 (pow kx 2))))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 31/15120 binary64) #s(literal 7/360 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) kx)
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (/ th (sin kx))))
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th (/.f64 th (sin.f64 kx)))) (/.f64 th (sin.f64 kx))))
(* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (sin kx))))) (/ th (sin kx)))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th (/.f64 th (sin.f64 kx)))) (/.f64 th (sin.f64 kx)))))
(* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx)))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/12 binary64) (/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/120 binary64) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)) (sin.f64 kx)))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th (/.f64 th (sin.f64 kx)))) (/.f64 th (sin.f64 kx)))))
(* ky (+ (* -1/6 (/ (pow th 3) (sin kx))) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (+ (* -1/6 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (+ th (* -1/6 (pow th 3))) (sin kx))) (+ (* 1/12 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (+ th (* -1/6 (pow th 3))) (pow (sin kx) 3))) (* -1/5040 (/ (+ th (* -1/6 (pow th 3))) (sin kx)))))))))))))) (/ th (sin kx)))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 ky (*.f64 ky (fma.f64 #s(literal 1/120 binary64) (/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 kx)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 (*.f64 #s(literal 1/12 binary64) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th (/.f64 th (sin.f64 kx)))) (/.f64 th (sin.f64 kx)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(+ th (* -1/6 (pow th 3)))
(fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)
(+ th (+ (* -1/2 (/ (* (pow kx 2) (+ th (* -1/6 (pow th 3)))) (pow (sin ky) 2))) (* -1/6 (pow th 3))))
(fma.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx))))
(+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
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(+ th (+ (* -1/6 (pow th 3)) (* (pow kx 2) (+ (* -1/2 (/ (+ th (* -1/6 (pow th 3))) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
(fma.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(*.f64 (*.f64 th (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th)))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th)))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 th (*.f64 th th)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th)))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(*.f64 (*.f64 th (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 ky) (*.f64 th th))))) (neg.f64 (*.f64 th (*.f64 th th))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 ky) (*.f64 th th))))) (neg.f64 (*.f64 th (*.f64 th th))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (sin.f64 ky) (neg.f64 (/.f64 (sin.f64 ky) (*.f64 th th))))) (neg.f64 (*.f64 th (*.f64 th th))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 (*.f64 ky (neg.f64 (*.f64 ky ky))) (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 (-.f64 (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky (*.f64 ky ky)) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 (-.f64 (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))) (*.f64 (sin.f64 kx) #s(literal -1/2 binary64)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal -1/12 binary64))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (*.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky (*.f64 ky ky)) (/.f64 ky (sin.f64 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (*.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 ky (*.f64 ky #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) ky) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 (fma.f64 (*.f64 ky ky) (fma.f64 ky (*.f64 ky #s(literal -1/5040 binary64)) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 ky (*.f64 ky ky)) ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 ky ky) (sin.f64 kx))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 kx (*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(* -1/6 (pow th 2))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))

eval439.0ms (3.3%)

Memory
-166.7MiB live, 508.2MiB allocated
Compiler

Compiled 35 844 to 2 473 computations (93.1% saved)

prune303.0ms (2.3%)

Memory
-0.4MiB live, 687.4MiB allocated
Pruning

92 alts after pruning (83 fresh and 9 done)

PrunedKeptTotal
New1 302291 331
Fresh45458
Picked235
Done167
Total1 309921 401
Accuracy
100.0%
Counts
1 401 → 92
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.3%
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
12.1%
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
✓12.3%
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
3.9%
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
26.5%
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
13.7%
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
21.8%
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
20.5%
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
16.5%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
72.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
32.6%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
16.8%
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
25.3%
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
25.3%
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
22.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
✓29.7%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
25.3%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
15.5%
(/.f64 (*.f64 ky th) (sin.f64 kx))
72.1%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
33.7%
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
3.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
13.7%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
71.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
33.3%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
32.5%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
9.5%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
99.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 kx))) (sin.f64 th))
26.5%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
52.9%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
22.8%
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
39.7%
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
30.4%
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
16.6%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
✓72.1%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
26.7%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
30.4%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
72.1%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))) (sin.f64 th))
47.9%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
56.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
27.9%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓48.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
54.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
72.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
11.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
31.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
43.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
17.5%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
27.4%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
16.3%
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
30.7%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
33.3%
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
13.7%
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
26.7%
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 ky)) (sin.f64 th))
22.8%
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
17.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
26.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
27.3%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
14.9%
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
25.1%
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
17.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
30.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
35.9%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
72.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
✓36.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
16.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
13.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
26.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
25.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
49.1%
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sin.f64 th))
12.9%
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
47.0%
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 th))
32.6%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
36.4%
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
4.8%
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
36.5%
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
24.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
11.2%
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
11.2%
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
15.7%
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
11.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
33.7%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
15.9%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
27.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
26.5%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
16.6%
(*.f64 ky (/.f64 th (sin.f64 kx)))
11.2%
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
✓11.2%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
11.2%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
11.2%
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
✓26.6%
(sin.f64 th)
Compiler

Compiled 3 723 to 1 542 computations (58.6% saved)

regimes357.0ms (2.7%)

Memory
25.0MiB live, 650.9MiB allocated
Counts
117 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))) (sin.f64 th))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (sin.f64 ky) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx kx))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

9 calls:

52.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
41.0ms
(sin.f64 th)
40.0ms
(sin.f64 ky)
38.0ms
th
38.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.6%1kx
99.6%1ky
99.6%1th
99.6%1(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
99.6%1(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.6%1(sin.f64 ky)
99.6%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.6%1(sin.f64 kx)
99.6%1(sin.f64 th)
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes328.0ms (2.5%)

Memory
-25.8MiB live, 504.2MiB allocated
Counts
103 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
Calls

9 calls:

71.0ms
(sin.f64 ky)
35.0ms
(sin.f64 th)
35.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
32.0ms
th
32.0ms
kx
Results
AccuracySegmentsBranch
99.6%2kx
99.3%2ky
83.7%2th
86.4%5(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
99.5%4(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.3%3(sin.f64 ky)
99.6%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.6%3(sin.f64 kx)
83.7%3(sin.f64 th)
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes87.0ms (0.7%)

Memory
-10.7MiB live, 108.8MiB allocated
Counts
97 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
Calls

2 calls:

29.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
29.0ms
kx
Results
AccuracySegmentsBranch
99.5%2kx
99.5%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes69.0ms (0.5%)

Memory
6.0MiB live, 85.6MiB allocated
Counts
95 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
Calls

2 calls:

39.0ms
kx
25.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.5%2kx
99.5%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes296.0ms (2.2%)

Memory
34.8MiB live, 467.6MiB allocated
Counts
94 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
Calls

9 calls:

67.0ms
th
32.0ms
(sin.f64 kx)
29.0ms
kx
28.0ms
(sin.f64 th)
28.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Results
AccuracySegmentsBranch
71.3%4(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
77.8%4(sin.f64 th)
77.9%3th
85.2%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
76.7%3(sin.f64 ky)
79.0%4(sin.f64 kx)
76.5%2ky
79.8%3kx
77.1%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes52.0ms (0.4%)

Memory
-1.2MiB live, 40.0MiB allocated
Counts
83 → 6
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
Calls

1 calls:

48.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
85.2%6(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes55.0ms (0.4%)

Memory
-16.5MiB live, 59.9MiB allocated
Counts
81 → 6
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (sin.f64 ky)) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
Calls

1 calls:

50.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
84.7%6(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes53.0ms (0.4%)

Memory
13.5MiB live, 92.1MiB allocated
Counts
79 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
Calls

2 calls:

26.0ms
kx
23.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
64.0%4kx
81.9%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 20 to 14 computations (30% saved)

regimes51.0ms (0.4%)

Memory
-9.3MiB live, 102.6MiB allocated
Counts
78 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
Calls

2 calls:

23.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
23.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
61.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
81.7%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes28.0ms (0.2%)

Memory
12.1MiB live, 54.9MiB allocated
Counts
76 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
Calls

1 calls:

24.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
81.7%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes185.0ms (1.4%)

Memory
-13.3MiB live, 237.5MiB allocated
Counts
75 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (/.f64 (*.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
Calls

6 calls:

58.0ms
ky
33.0ms
(sin.f64 kx)
23.0ms
th
23.0ms
(sin.f64 th)
23.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
51.9%3(sin.f64 th)
73.3%4(sin.f64 ky)
61.7%4(sin.f64 kx)
51.9%2th
73.1%3ky
73.8%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes125.0ms (0.9%)

Memory
6.1MiB live, 236.3MiB allocated
Counts
73 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
Calls

5 calls:

27.0ms
kx
25.0ms
ky
24.0ms
(sin.f64 ky)
23.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
22.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Results
AccuracySegmentsBranch
61.3%3kx
50.5%5(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
60.6%4(sin.f64 ky)
59.7%3ky
63.9%4(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 48 to 34 computations (29.2% saved)

regimes25.0ms (0.2%)

Memory
13.5MiB live, 51.1MiB allocated
Counts
72 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
Calls

1 calls:

21.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
63.9%4(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes27.0ms (0.2%)

Memory
-11.3MiB live, 59.9MiB allocated
Counts
66 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
Calls

1 calls:

20.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
62.3%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes128.0ms (1%)

Memory
19.1MiB live, 269.4MiB allocated
Counts
63 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
Calls

6 calls:

25.0ms
ky
23.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
20.0ms
(sin.f64 ky)
19.0ms
kx
19.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
54.4%4(sin.f64 ky)
48.5%3ky
59.3%4(sin.f64 kx)
56.3%3kx
56.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
56.2%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes24.0ms (0.2%)

Memory
-25.0MiB live, 49.9MiB allocated
Counts
60 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 ky) (sin.f64 th))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
Calls

1 calls:

19.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
59.2%4(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes53.0ms (0.4%)

Memory
-0.7MiB live, 38.5MiB allocated
Counts
57 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (sin.f64 th))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
Calls

1 calls:

17.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
58.2%4(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.1%)

Memory
28.8MiB live, 28.8MiB allocated
Counts
52 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
Calls

1 calls:

15.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
58.2%4(sin.f64 kx)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes85.0ms (0.6%)

Memory
-6.5MiB live, 141.6MiB allocated
Counts
50 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
Outputs
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

4 calls:

25.0ms
(sin.f64 kx)
22.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
18.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
17.0ms
kx
Results
AccuracySegmentsBranch
57.1%4(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
55.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
55.4%3kx
55.7%4(sin.f64 kx)
Compiler

Compiled 32 to 24 computations (25% saved)

regimes33.0ms (0.2%)

Memory
-3.7MiB live, 72.4MiB allocated
Counts
47 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
Outputs
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
Calls

2 calls:

15.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
15.0ms
kx
Results
AccuracySegmentsBranch
55.4%3kx
51.1%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 20 to 14 computations (30% saved)

regimes99.0ms (0.7%)

Memory
15.0MiB live, 213.1MiB allocated
Counts
44 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) th) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 ky ky))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (sin.f64 ky)) kx) (sin.f64 th))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) kx)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
Outputs
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

7 calls:

16.0ms
(sin.f64 kx)
14.0ms
kx
14.0ms
th
14.0ms
(sin.f64 ky)
14.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
51.1%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
38.0%4(sin.f64 th)
46.4%2(sin.f64 ky)
39.0%5th
50.3%4(sin.f64 kx)
46.1%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
46.2%3kx
Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes54.0ms (0.4%)

Memory
0.1MiB live, 95.2MiB allocated
Counts
28 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 ky)))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(sin.f64 th)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
Calls

5 calls:

16.0ms
(sin.f64 kx)
10.0ms
(sin.f64 ky)
9.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
9.0ms
ky
8.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
41.7%4(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
43.3%2(sin.f64 ky)
42.6%2ky
42.6%3(sin.f64 kx)
47.3%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 49 to 35 computations (28.6% saved)

regimes26.0ms (0.2%)

Memory
-27.9MiB live, 50.0MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th)))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th th))) (*.f64 th (*.f64 th th)))))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (*.f64 kx (*.f64 kx kx)) kx))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (pow.f64 th #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
Outputs
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
(sin.f64 th)
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))
Calls

3 calls:

8.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
8.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
8.0ms
kx
Results
AccuracySegmentsBranch
42.5%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
42.5%3kx
45.6%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes6.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(*.f64 (/.f64 ky (sin.f64 kx)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
Outputs
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(sin.f64 th)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
Calls

1 calls:

5.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
45.2%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes57.0ms (0.4%)

Memory
6.0MiB live, 46.6MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
(*.f64 ky (/.f64 th (sin.f64 kx)))
(/.f64 (*.f64 ky th) (sin.f64 kx))
Outputs
(*.f64 ky (/.f64 th (sin.f64 kx)))
(sin.f64 th)
Calls

7 calls:

27.0ms
(sin.f64 kx)
5.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
5.0ms
kx
5.0ms
ky
5.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
34.6%3(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
30.1%2kx
30.1%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
30.2%3(sin.f64 kx)
34.5%2ky
34.4%2(sin.f64 ky)
37.2%2(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes29.0ms (0.2%)

Memory
2.6MiB live, 41.3MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
(sin.f64 th)
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(sin.f64 th)
Calls

6 calls:

5.0ms
(sin.f64 ky)
5.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
4.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
4.0ms
(sin.f64 th)
4.0ms
th
Results
AccuracySegmentsBranch
32.6%3(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
30.3%2th
31.3%2(sin.f64 ky)
30.9%2ky
30.3%3(sin.f64 th)
32.4%2(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 53 to 38 computations (28.3% saved)

regimes40.0ms (0.3%)

Memory
6.7MiB live, 83.2MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))) (/.f64 #s(literal 1 binary64) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (neg.f64 th)))))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
Calls

9 calls:

5.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
5.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
4.0ms
(sin.f64 th)
4.0ms
(sin.f64 kx)
4.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
13.7%1(sin.f64 kx)
16.2%2(sin.f64 th)
13.7%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
15.4%2kx
16.0%2th
18.4%2ky
19.1%2(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
18.7%2(sin.f64 ky)
18.5%2(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes10.0ms (0.1%)

Memory
-25.0MiB live, 15.6MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
Calls

2 calls:

3.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
3.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
18.7%2(sin.f64 ky)
18.5%2(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes19.0ms (0.1%)

Memory
7.8MiB live, 47.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
Calls

9 calls:

3.0ms
(sin.f64 kx)
2.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
2.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
2.0ms
(sin.f64 ky)
2.0ms
(sin.f64 th)
Results
AccuracySegmentsBranch
11.2%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
11.2%1(sin.f64 kx)
11.2%1kx
11.2%1th
11.2%1(sin.f64 th)
11.2%1ky
11.2%1(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
11.2%1(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
11.2%1(sin.f64 ky)
Compiler

Compiled 69 to 51 computations (26.1% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.64763305456319e-11
2.0147925249013614e-9
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.64763305456319e-11
2.0147925249013614e-9
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.64763305456319e-11
2.0147925249013614e-9
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.9999576192623659
0.9999999852660215
0.0ms
0.17445830511948066
0.27405897028259024
0.0ms
-0.26447491516328725
-0.1686849108816048
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000038289879372
0.0ms
0.9999576192623659
0.9999999852660215
0.0ms
0.17445830511948066
0.27405897028259024
0.0ms
-0.26447491516328725
-0.1686849108816048
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000038289879372
0.0ms
0.9999576192623659
0.9999999852660215
0.0ms
0.17445830511948066
0.27405897028259024
0.0ms
-0.048291314348565026
1.2607571160253564e-306
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.9218541573963968
0.9826338940102303
0.0ms
0.00615617571343513
0.01884674087823684
0.0ms
-0.048291314348565026
1.2607571160253564e-306
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.9218541573963968
0.9826338940102303
0.0ms
0.00615617571343513
0.01884674087823684
0.0ms
-0.048291314348565026
1.2607571160253564e-306
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.3MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.9218541573963968
0.9826338940102303
0.0ms
0.00615617571343513
0.01884674087823684
0.0ms
-0.048291314348565026
1.2607571160253564e-306
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00615617571343513
0.01884674087823684
0.0ms
-0.048291314348565026
1.2607571160253564e-306
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 1.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.045474565185616385
0.17445830511948066
0.0ms
1.0144577166526438e-223
1.8105723131335174e-223
0.0ms
-0.7078850872730266
-0.6954553518412572
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.045474565185616385
0.17445830511948066
0.0ms
1.0144577166526438e-223
1.8105723131335174e-223
0.0ms
-0.7078850872730266
-0.6954553518412572
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.045474565185616385
0.17445830511948066
0.0ms
-0.1467226169552203
-0.048291314348565026
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.0036245109549236e-75
1.9577463453354657e-70
0.0ms
4.603524143480966e-165
1.1053637980689251e-161
0.0ms
-0.08478749606142867
-0.07621898663775965
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.0036245109549236e-75
1.9577463453354657e-70
0.0ms
4.603524143480966e-165
1.1053637980689251e-161
0.0ms
-0.08478749606142867
-0.07621898663775965
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch2.0ms (0%)

Memory
-37.4MiB live, 1.7MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.0036245109549236e-75
1.9577463453354657e-70
0.0ms
4.603524143480966e-165
1.1053637980689251e-161
0.0ms
-0.07246029692432404
-0.07189591012813405
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.0036245109549236e-75
1.9577463453354657e-70
0.0ms
4.603524143480966e-165
1.1053637980689251e-161
0.0ms
-0.07246029692432404
-0.07189591012813405
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.00615617571343513
0.01884674087823684
0.0ms
-0.26447491516328725
-0.1686849108816048
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch50.0ms (0.4%)

Memory
7.7MiB live, 86.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
1960113934.3420649
22789880780677.492
21.0ms
4.603524143480966e-165
1.1053637980689251e-161
Samples
37.0ms256×0valid
Compiler

Compiled 510 to 370 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 17.0ms (56.8% of total)
ival-pow2: 5.0ms (16.7% of total)
ival-add: 3.0ms (10% of total)
ival-div: 2.0ms (6.7% of total)
ival-mult: 2.0ms (6.7% of total)
ival-sqrt: 2.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.00615617571343513
0.01884674087823684
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.00615617571343513
0.01884674087823684
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.00615617571343513
0.01884674087823684
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.00615617571343513
0.01884674087823684
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.126577364927663e-11
0.00615617571343513
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch11.0ms (0.1%)

Memory
13.9MiB live, 13.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.4745657793411857e-52
4.4594535594839996e-51
Samples
6.0ms112×0valid
Compiler

Compiled 141 to 110 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sin: 3.0ms (85.3% of total)
ival-mult: 1.0ms (28.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0809684001475494e-283
2.220526015969912e-281
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch21.0ms (0.2%)

Memory
-7.0MiB live, 31.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.1314647069004669e-166
8.303833370998707e-165
Samples
13.0ms112×0valid
Compiler

Compiled 182 to 130 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 5.0ms (48.8% of total)
ival-pow2: 2.0ms (19.5% of total)
ival-div: 1.0ms (9.8% of total)
ival-add: 1.0ms (9.8% of total)
ival-mult: 1.0ms (9.8% of total)
ival-sqrt: 1.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify29.0ms (0.2%)

Memory
12.6MiB live, 51.4MiB allocated
Algorithm
1×egg-herbie
Rules
94×*-commutative_binary64
14×+-commutative_binary64
8×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02402162
12952162
23022162
33062162
43082162
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4503419483385401/4503599627370496 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4503419483385401/4503599627370496 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4503419483385401/4503599627370496 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4278419646001971/4503599627370496 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4278419646001971/4503599627370496 binary64)) (*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4278419646001971/4503599627370496 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3152519739159347/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7814079413531079/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 binary64)) (*.f64 (/.f64 (sin.f64 th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3152519739159347/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7814079413531079/52093862756873861516248842115009826540193424393093032503095764154406540920450250558761189069309017896429139926511197190983506262922807539690338719158834609735118418589953238737992799108686047068195039188561614077981958969042784853837217792 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/72057594037927936 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th))))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/72057594037927936 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/72057594037927936 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5188146770730811/72057594037927936 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5188146770730811/72057594037927936 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))))
(if (<=.f64 kx #s(literal 3444422103075043/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 2000000000 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) kx) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 336999333339383/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (sin.f64 th))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) #s(literal 8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th))
(if (<=.f64 (sin.f64 ky) #s(literal 2126626729051509/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th)))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))))))))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))))))))
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(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4503419483385401/4503599627370496 binary64)) (*.f64 (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))))))))
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(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/72057594037927936 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/72057594037927936 binary64)) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 (sin.f64 ky) (sin.f64 th)))) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/72057594037927936 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5764607523034235/72057594037927936 binary64)) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5188146770730811/72057594037927936 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5188146770730811/72057594037927936 binary64)) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx)))))
(if (<=.f64 (sin.f64 kx) #s(literal -5188146770730811/72057594037927936 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(if (<=.f64 (sin.f64 kx) #s(literal -5188146770730811/72057594037927936 binary64)) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 (sin.f64 kx) #s(literal 5186894461101241/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (sin.f64 th) (if (<=.f64 (sin.f64 kx) #s(literal 1018517988167243/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924672 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sin.f64 kx))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))))
(if (<=.f64 kx #s(literal 3444422103075043/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 2000000000 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))))
(if (<=.f64 kx #s(literal 3444422103075043/506532662216918085755909163048237445191949002959281848144001138878253517018177263964807989373425756138696031080481053366991595590260226478013534525648677207893210669360535830528 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 2000000000 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx (*.f64 kx kx)) kx))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) kx) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (sin.f64 th) (/.f64 (*.f64 ky (sin.f64 th)) kx)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7737125245533627/77371252455336267181195264 binary64)) (*.f64 ky (/.f64 th (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 336999333339383/421249166674228746791672110734681729275580381602196445017243910144 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (sin.f64 th))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) #s(literal 8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th))
(if (<=.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #s(literal 8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th))
(if (<=.f64 (sin.f64 ky) #s(literal 2126626729051509/259344723055062059907025491480697571938277889515152306249728583105665800713306759149981690559193987143012367913206299323899696942213235956742929677132122730441323862712594345230336 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))

soundness1.9s (14.2%)

Memory
11.3MiB live, 1 999.5MiB allocated
Rules
14 278×lower-fma.f64
14 278×lower-fma.f32
12 862×lower-fma.f64
12 862×lower-fma.f32
8 990×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095711823
1317311223
0814610397
03172263
110112214
238602122
378032122
081061974
025125
049105
1175104
21140104
09042103
036262
069264
1237217
01764201
06176172
120635692
279495660
081185335
039252
072240
1264235
01852210
01349
02249
16249
233849
3290249
0828434
0102714006
1338313552
0815312584
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 4 051 to 1 599 computations (60.5% saved)

preprocess178.0ms (1.3%)

Memory
12.8MiB live, 324.0MiB allocated
Remove

(negabs ky)

(negabs th)

(abs kx)

Compiler

Compiled 4 452 to 560 computations (87.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...