Toniolo and Linder, Equation (3b), real

Time bar (total: 14.1s)

analyze186.0ms (1.3%)

Memory
3.3MiB live, 480.7MiB 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)

sample1.9s (13.2%)

Memory
19.7MiB live, 2 516.0MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-sin: 784.0ms (60.8% of total)
ival-pow2: 196.0ms (15.2% of total)
ival-sqrt: 118.0ms (9.1% of total)
ival-div: 77.0ms (6% of total)
ival-mult: 69.0ms (5.3% of total)
ival-add: 37.0ms (2.9% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess77.0ms (0.5%)

Memory
13.6MiB live, 57.7MiB 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)

explain210.0ms (1.5%)

Memory
14.6MiB live, 333.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
120-1(4.017731480078293e-291 2.7693983116783694e-160 3.222607847286717e-5)(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-rescue110
↳(pow.f64 (sin.f64 kx) #s(literal 2 binary64))underflow50
↳(pow.f64 (sin.f64 ky) #s(literal 2 binary64))underflow63
↳(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))underflow11
Confusion
Predicted +Predicted -
+111
-0244
Precision
1.0
Recall
0.9166666666666666
Confusion?
Predicted +Predicted MaybePredicted -
+1101
-00244
Precision?
1.0
Recall?
0.9166666666666666
Freqs
test
numberfreq
0245
111
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
98.0ms512×0valid
Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-sin: 47.0ms (65.9% of total)
ival-pow2: 12.0ms (16.8% of total)
ival-sqrt: 4.0ms (5.6% of total)
ival-div: 3.0ms (4.2% of total)
ival-mult: 3.0ms (4.2% of total)
ival-add: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 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
▶95.2%
(*.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 19 to 13 computations (31.6% saved)

simplify7.0ms (0.1%)

Memory
-28.0MiB live, 9.1MiB 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

localize50.0ms (0.4%)

Memory
16.0MiB live, 94.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.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))
✓accuracy99.7%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓accuracy95.6%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
Samples
38.0ms256×0valid
Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-sin: 17.0ms (60.5% of total)
ival-pow2: 4.0ms (14.2% of total)
ival-div: 2.0ms (7.1% of total)
ival-mult: 2.0ms (7.1% of total)
ival-sqrt: 2.0ms (7.1% of total)
ival-add: 1.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory
-4.5MiB live, 74.8MiB 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 kx) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 ky) #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 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 (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)>
Calls

30 calls:

TimeVariablePointExpression
6.0ms
ky
@inf
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
3.0ms
kx
@0
(pow (sin kx) 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))))
2.0ms
ky
@-inf
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))

rewrite314.0ms (2.2%)

Memory
14.2MiB live, 447.7MiB 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 kx) #s(literal 2 binary64))
(pow.f64 (sin.f64 ky) #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 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)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.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))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))) #s(literal 4 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 (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))

simplify445.0ms (3.1%)

Memory
24.8MiB live, 819.1MiB 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
378042122
081071974
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 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)
(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)
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 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx (*.f64 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)))))) (/.f64 #s(literal 1/2 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 ky (*.f64 ky (/.f64 #s(literal 1/2 binary64) (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 ky (/.f64 (*.f64 ky (+.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 ky ky) (-.f64 (/.f64 #s(literal 2/45 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)))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.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 ky (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 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))))))))))))) (/ (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 #s(literal 1/2 binary64) (*.f64 (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)))))) (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 (sin.f64 th) (*.f64 (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)))))) (fma.f64 (*.f64 ky ky) (fma.f64 (sin.f64 th) (*.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 (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) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (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 -1/2 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 (*.f64 ky ky) (*.f64 (+.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)))) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (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)))) 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 (*.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 (/.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 kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(*.f64 kx (fma.f64 (*.f64 kx (*.f64 kx #s(literal -1/3 binary64))) kx kx))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(*.f64 (*.f64 (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)) kx) kx)
(* (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))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(*.f64 ky (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(*.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)))
(* (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))

eval78.0ms (0.6%)

Memory
3.2MiB live, 152.8MiB allocated
Compiler

Compiled 12 721 to 1 670 computations (86.9% saved)

prune154.0ms (1.1%)

Memory
-8.8MiB live, 192.0MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New42721448
Fresh000
Picked101
Done000
Total42821449
Accuracy
100.0%
Counts
449 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(/.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))))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
▶73.8%
(/.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)))))))
30.8%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
73.9%
(/.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)))
24.6%
(*.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))
95.0%
(*.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))
74.0%
(*.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))
40.1%
(*.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))
75.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))) (sin.f64 th))
▶99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
74.0%
(*.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))
50.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
70.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶54.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
36.5%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
33.4%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
94.9%
(*.f64 (*.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.f64 th))
73.8%
(*.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))))))))
73.9%
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (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)))
▶27.3%
(*.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))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
▶30.3%
(sin.f64 th)
Compiler

Compiled 852 to 602 computations (29.3% saved)

simplify523.0ms (3.7%)

Memory
-34.0MiB live, 265.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th)))
✓cost-diff0
(/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
✓cost-diff64
(*.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))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
✓cost-diff6976
(fma.f64 ky (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))
✓cost-diff0
(*.f64 (sin.f64 ky) (sin.f64 th))
✓cost-diff0
(/.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)))))))
✓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 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓cost-diff128
(+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓cost-diff1024
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓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
5 268×lower-fma.f32
5 262×lower-fma.f64
3 684×lower-*.f32
3 664×lower-*.f64
1 234×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042314
081314
1129314
2244311
3659302
41898297
52943295
63612295
74126295
85097295
95886295
106328295
116763295
126988295
137363295
147591295
157833295
167911295
177911295
187911295
197911295
207911295
08142273
Stop Event
1×iter limit
1×node limit
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 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 kx kx)
kx
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
#s(literal 2 binary64)
(sin.f64 th)
th
(/.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 (sin.f64 ky) (sin.f64 th))
(sin.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)
(*.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))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
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))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th)))
(*.f64 #s(literal -1/2 binary64) (sin.f64 th))
#s(literal -1/2 binary64)
(sin.f64 th)
th
(pow.f64 (sin.f64 kx) #s(literal 3 binary64))
(sin.f64 kx)
kx
#s(literal 3 binary64)
(*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 ky ky)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 th) (sin.f64 kx))
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 (*.f64 kx kx) (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) kx))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (sin.f64 ky) kx)
(+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 kx kx)
kx
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
#s(literal 2 binary64)
(sin.f64 th)
th
(/.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 (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 ky) (sin.f64 th))
(sin.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))))))
(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)
(*.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))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 ky (sin.f64 kx)) #s(literal 3 binary64)) (/.f64 (fma.f64 ky (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) ky) (sin.f64 kx))))
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))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 kx) (sin.f64 kx)))) #s(literal 1 binary64)))
(/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(/.f64 (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th)))
(*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (sin.f64 th))
(*.f64 (sin.f64 th) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 th)
th
(pow.f64 (sin.f64 kx) #s(literal 3 binary64))
(sin.f64 kx)
kx
#s(literal 3 binary64)
(*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sin.f64 kx))
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64))
(*.f64 ky ky)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(/.f64 (sin.f64 th) (sin.f64 kx))

localize305.0ms (2.2%)

Memory
18.0MiB live, 495.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy98.3%
(*.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))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
✓accuracy97.8%
(fma.f64 ky (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))
✓accuracy94.7%
(*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))
✓accuracy90.2%
(/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
✓accuracy95.6%
(/.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)))))))
✓accuracy95.6%
(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))))))
✓accuracy74.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓accuracy73.8%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy99.9%
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓accuracy99.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓accuracy99.7%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy69.6%
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓accuracy100.0%
(sin.f64 th)
✓accuracy100.0%
(sin.f64 ky)
✓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
117.0ms98×2valid
74.0ms89×1valid
33.0ms69×0valid
Compiler

Compiled 346 to 47 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 175.0ms
ival-cos: 37.0ms (21.1% of total)
ival-sin: 31.0ms (17.7% of total)
ival-mult: 30.0ms (17.1% of total)
adjust: 22.0ms (12.5% of total)
ival-div: 14.0ms (8% of total)
ival-add: 12.0ms (6.8% of total)
ival-sqrt: 7.0ms (4% of total)
ival-hypot: 6.0ms (3.4% of total)
const: 5.0ms (2.8% of total)
ival-pow: 5.0ms (2.8% of total)
ival-pow2: 4.0ms (2.3% of total)
ival-sub: 2.0ms (1.1% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series217.0ms (1.5%)

Memory
13.1MiB live, 282.2MiB allocated
Counts
21 → 528
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 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<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 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))>
#<alt (/.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)))))))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (fma.f64 ky (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))))>
#<alt (*.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))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))>
#<alt (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))>
#<alt (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th)))>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))>
#<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))))))>
#<alt (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))>
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 (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 kx)>
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))>
#<alt kx>
#<alt (+ kx (* 1/2 (/ (pow ky 2) kx)))>
#<alt (+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))>
#<alt (+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow kx 2) (pow (sin ky) 2)))>
#<alt (pow (sin ky) 2)>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))>
#<alt (pow kx 2)>
#<alt (+ (pow kx 2) (pow ky 2))>
#<alt (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow kx 2))>
#<alt (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow kx 2))>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (+ (pow kx 2) (pow (sin ky) 2))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow 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))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)>
#<alt (* -1 (/ (* (sin ky) (sin th)) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (/ ky kx)>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (/ (sin ky) kx)>
#<alt (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)>
#<alt (* -1 (/ (sin ky) kx))>
#<alt (* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) 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 (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 (* (* 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))))))))))))))>
#<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)))))) (* (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))))))))))))))))))))>
#<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)))))))))>
#<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)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* 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)))))))))))>
#<alt (* 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))))))))))))))>
#<alt (* 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))))))))))))))))>
#<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)))))))))>
#<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)))))))))>
#<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)))))))))>
#<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)))))))))>
#<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)))))))))>
#<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)))))))))>
#<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))>
#<alt (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* th (sin ky))>
#<alt (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (/ (sin th) (sin kx))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx)))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx)))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))>
#<alt (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))>
#<alt (* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))))>
#<alt (* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/12 (/ (pow ky 2) (pow (sin kx) 3))))) (/ 1 (sin kx))))))>
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#<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)))))))>
#<alt (/ (sin th) (sin kx))>
#<alt (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))>
#<alt (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))>
#<alt (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))>
#<alt (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx)))>
#<alt (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))>
#<alt (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))>
#<alt (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))>
#<alt (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx)))>
#<alt (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))>
#<alt (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))>
#<alt (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))>
#<alt (/ (* th (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))))>
#<alt (* th (+ (* -1/6 (/ (pow ky 2) (sin kx))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/120 (/ (* (pow th 2) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))) (/ 1 (sin kx)))))>
#<alt (* th (+ (* -1/6 (/ (pow ky 2) (sin kx))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (* 1/120 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))))))) (/ 1 (sin kx)))))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) kx)>
#<alt (/ (+ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) kx)>
#<alt (/ (+ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (+ (* 1/720 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/6 (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))))) (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) kx)>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
#<alt (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))>
Calls

132 calls:

TimeVariablePointExpression
12.0ms
ky
@-inf
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
9.0ms
ky
@0
(/ (* (sin ky) (sin th)) (sqrt (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky)))))))
6.0ms
th
@inf
(+ (* ky (/ (* ky (* -1/2 (sin th))) (pow (sin kx) 3))) (* (+ (* (* ky ky) -1/6) 1) (/ (sin th) (sin kx))))
4.0ms
th
@-inf
(/ (* (sin ky) (sin th)) (sqrt (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky)))))))
3.0ms
kx
@inf
(* ky (+ (* ky (/ (* ky (* -1/2 (sin th))) (pow (sin kx) 3))) (* (+ (* (* ky ky) -1/6) 1) (/ (sin th) (sin kx)))))

rewrite131.0ms (0.9%)

Memory
-8.9MiB live, 187.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 232×lower-*.f32
1 212×lower-*.f64
1 208×lower-fma.f32
1 202×lower-fma.f64
996×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042232
081236
1305216
02456200
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
21 → 400
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 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 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 (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 (sin.f64 ky) (sin.f64 th))
(fma.f64 ky (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 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))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th)))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(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 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))
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 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky 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)))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (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 #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 (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 (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 #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 (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))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(sin.f64 ky)
(pow.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)))
(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 ky))))
(hypot.f64 (sin.f64 ky) (pow.f64 (sin.f64 kx) #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 ky))))
(hypot.f64 (sin.f64 kx) (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(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))) (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 1 binary64)) (sin.f64 ky))
(hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 1 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 1 binary64)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 1 binary64)) (pow.f64 (sin.f64 kx) #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 kx kx (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) kx)
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(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (+.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) (cos.f64 (+.f64 ky ky)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.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 ky ky))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #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 ky ky)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #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 ky ky))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 (+.f64 ky ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 ky ky))) (neg.f64 (cos.f64 (+.f64 ky ky)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 ky ky)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 ky ky))) (neg.f64 (cos.f64 (+.f64 ky ky))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 ky ky)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #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 ky ky)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))
(exp.f64 (*.f64 (log.f64 (fma.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)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.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))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 3 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 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.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)))) (sqrt.f64 (-.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)))))
(pow.f64 (fma.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))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.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))) #s(literal 1/4 binary64)) (pow.f64 (fma.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))) #s(literal 1/4 binary64)))
(+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(+.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1 binary64)) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))
(+.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(fma.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))
(fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1 binary64)))
(fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (sin.f64 th) (sin.f64 kx)))
(fma.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 kx))) (*.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th) (*.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64))) (sin.f64 kx))
(/.f64 (*.f64 (fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (sin.f64 kx)))
(/.f64 (*.f64 (fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (*.f64 (fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 th))) (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))) (neg.f64 (sin.f64 kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (sin.f64 th)) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal -1 binary64)) (sin.f64 kx)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal -1 binary64)) (/.f64 (sin.f64 kx) (sin.f64 th))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (neg.f64 (sin.f64 th))) (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal -1 binary64)) (neg.f64 (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (*.f64 (sin.f64 kx) (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (*.f64 (sin.f64 kx) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (*.f64 (neg.f64 (sin.f64 kx)) (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64)))))))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (*.f64 (neg.f64 (sin.f64 kx)) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sin.f64 kx)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (neg.f64 (sin.f64 th))) (neg.f64 (sin.f64 kx)))
(/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) #s(literal -1 binary64))) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) (-.f64 #s(literal 1 binary64) (*.f64 ky (*.f64 ky #s(literal -1/6 binary64))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 ky ky) (*.f64 ky ky)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64))) (neg.f64 (sin.f64 kx)))
(*.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 th) (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))

simplify489.0ms (3.5%)

Memory
34.2MiB live, 730.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 208×lower-fma.f64
9 208×lower-fma.f32
6 772×lower-*.f64
6 772×lower-*.f32
5 666×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116811963
1392511589
2738811589
0813210736
Stop Event
1×iter limit
1×node limit
Counts
528 → 524
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)
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 kx)))))
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 kx)))))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(pow (sin ky) 2)
(+ (pow kx 2) (pow (sin ky) 2))
(+ (pow kx 2) (pow (sin ky) 2))
(+ (pow kx 2) (pow (sin ky) 2))
(pow kx 2)
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(pow kx 2)
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(pow kx 2)
(+ (pow kx 2) (pow ky 2))
(+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow kx 2))
(+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow kx 2))
(+ (pow kx 2) (pow (sin ky) 2))
(+ (pow kx 2) (pow (sin ky) 2))
(+ (pow kx 2) (pow (sin ky) 2))
(+ (pow kx 2) (pow (sin ky) 2))
(+ (pow kx 2) (pow (sin ky) 2))
(+ (pow kx 2) (pow (sin ky) 2))
(+ (pow kx 2) (pow (sin ky) 2))
(+ (pow kx 2) (pow (sin ky) 2))
(/ (* ky (sin th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow 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))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(/ ky kx)
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 3/8 (/ (pow kx 2) (pow (sin ky) 4))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -5/16 (/ (pow kx 2) (pow (sin ky) 6))) (* 3/8 (/ 1 (pow (sin ky) 4))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(/ (sin ky) kx)
(/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)
(* -1 (/ (sin ky) kx))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) 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))))))
(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)))))
(* (* 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)))))))))
(* (* (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))
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* th (sin ky))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(/ (sin th) (sin kx))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx)))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx)))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/12 (/ (pow ky 2) (pow (sin kx) 3))))) (/ 1 (sin kx))))))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (+ (* 1/12 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* -1/240 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/120 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx)))))))) (/ 1 (sin kx))))))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (+ (* 1/12 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* -1/240 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* 1/120 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/10080 (/ (pow ky 2) (pow (sin kx) 3))))))))))) (/ 1 (sin kx))))))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow kx 3)))
(/ (+ (* -1/2 (* (pow ky 2) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow ky 2) (sin th))) (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))) (pow kx 3))
(/ (+ (* -1/2 (* (pow ky 2) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow ky 2) (sin th))) (+ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))))) (pow kx 3))
(/ (+ (* -1/2 (* (pow ky 2) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow ky 2) (sin th))) (+ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (+ (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th))))) (* (pow kx 2) (- (* 1/2 (+ (* -41/3024 (* (pow ky 2) (sin th))) (+ (* 13/240 (* (pow ky 2) (sin th))) (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th)))))))) (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))))) (pow kx 3))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(/ (* 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))))) (/ (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))))
(* (pow ky 3) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx)))))
(* (pow ky 3) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(* (pow ky 3) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(* (pow ky 3) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(* (pow ky 3) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx)))))
(* -1 (* (pow ky 3) (+ (* -1 (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))))))
(* -1 (* (pow ky 3) (+ (* -1 (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))))))
(* -1 (* (pow ky 3) (+ (* -1 (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (* -1 (/ (sin th) (* (pow ky 2) (sin kx)))))))
(* ky (* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))))
(* th (+ (* ky (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/12 (/ (pow ky 2) (pow (sin kx) 3)))))) (* ky (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))))))
(* th (+ (* ky (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))) (* (pow th 2) (+ (* ky (* (pow th 2) (+ (* -1/240 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/120 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx)))))) (* ky (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/12 (/ (pow ky 2) (pow (sin kx) 3)))))))))
(* th (+ (* ky (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))) (* (pow th 2) (+ (* ky (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/12 (/ (pow ky 2) (pow (sin kx) 3))))) (* (pow th 2) (+ (* ky (* (pow th 2) (+ (* -1/5040 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/10080 (/ (pow ky 2) (pow (sin kx) 3)))))) (* ky (+ (* -1/240 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/120 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx)))))))))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* -1/2 (/ (* (pow ky 3) (sin th)) (pow kx 3)))
(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (* ky (+ (* -1/4 (* (pow ky 2) (sin th))) (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) (pow kx 3))
(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (+ (* ky (+ (* -1/4 (* (pow ky 2) (sin th))) (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* (pow kx 2) (* ky (- (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))))) (pow kx 3))
(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (+ (* ky (+ (* -1/4 (* (pow ky 2) (sin th))) (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* (pow kx 2) (+ (* ky (- (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))) (* (pow kx 2) (* ky (- (* 1/2 (+ (* -41/3024 (* (pow ky 2) (sin th))) (+ (* 13/240 (* (pow ky 2) (sin th))) (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th)))))))) (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))))))))) (pow kx 3))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky th) (pow (sin kx) 3)))
(* th (+ (* -1/2 (/ ky (pow (sin kx) 3))) (* 1/12 (/ (* ky (pow th 2)) (pow (sin kx) 3)))))
(* th (+ (* -1/2 (/ ky (pow (sin kx) 3))) (* (pow th 2) (+ (* -1/240 (/ (* ky (pow th 2)) (pow (sin kx) 3))) (* 1/12 (/ ky (pow (sin kx) 3)))))))
(* th (+ (* -1/2 (/ ky (pow (sin kx) 3))) (* (pow th 2) (+ (* 1/12 (/ ky (pow (sin kx) 3))) (* (pow th 2) (+ (* -1/240 (/ ky (pow (sin kx) 3))) (* 1/10080 (/ (* ky (pow th 2)) (pow (sin kx) 3)))))))))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow kx 3)))
(/ (+ (* -1/2 (* ky (sin th))) (* -1/4 (* (pow kx 2) (* ky (sin th))))) (pow kx 3))
(/ (+ (* -1/2 (* ky (sin th))) (* (pow kx 2) (+ (* -1/4 (* ky (sin th))) (* 1/2 (* (pow kx 2) (+ (* -1/4 (* ky (sin th))) (* 13/120 (* ky (sin th))))))))) (pow kx 3))
(/ (+ (* -1/2 (* ky (sin th))) (* (pow kx 2) (+ (* -1/4 (* ky (sin th))) (* (pow kx 2) (+ (* 1/2 (* (pow kx 2) (+ (* -41/3024 (* ky (sin th))) (+ (* 13/240 (* ky (sin th))) (* 1/2 (+ (* -1/4 (* ky (sin th))) (* 13/120 (* ky (sin th))))))))) (* 1/2 (+ (* -1/4 (* ky (sin th))) (* 13/120 (* ky (sin th)))))))))) (pow kx 3))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* ky (sin th)) (pow (sin kx) 3)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky th))
(* th (+ (* -1/2 ky) (* 1/12 (* ky (pow th 2)))))
(* th (+ (* -1/2 ky) (* (pow th 2) (+ (* -1/240 (* ky (pow th 2))) (* 1/12 ky)))))
(* th (+ (* -1/2 ky) (* (pow th 2) (+ (* 1/12 ky) (* (pow th 2) (+ (* -1/240 ky) (* 1/10080 (* ky (pow th 2)))))))))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(* -1/2 (* ky (sin th)))
(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)
(* 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 (+ 1/2 (* -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)))))))
(/ (sin th) (sin kx))
(+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))
(+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))
(+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))
(* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx)))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx)))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(/ (* th (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))))
(* th (+ (* -1/6 (/ (pow ky 2) (sin kx))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/120 (/ (* (pow th 2) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))) (/ 1 (sin kx)))))
(* th (+ (* -1/6 (/ (pow ky 2) (sin kx))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (* 1/120 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))))))) (/ 1 (sin kx)))))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) kx)
(/ (+ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) kx)
(/ (+ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (+ (* 1/720 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/6 (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))))) (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) kx)
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin 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 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (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 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (*.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 -1/2 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 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (fma.f64 (*.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (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 (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 -1/12 binary64) (sin.f64 kx)) (*.f64 (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 #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 -1/2 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 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 (sin.f64 th) (*.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 (*.f64 (*.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)))))) (/.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)) (+.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 #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 (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 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))))) (*.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 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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 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 #s(literal -1/6 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)))))) (*.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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 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))))
(fma.f64 ky (neg.f64 (*.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 ky (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (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)))
(* 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 #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 #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)))))) (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) (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 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 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.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))
(+ 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 #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 (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))))
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* 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))))
(*.f64 ky (fma.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)) #s(literal 1 binary64)))
(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 ky ky) (/.f64 #s(literal 1/2 binary64) (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 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 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 -1/2 binary64) (+.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))
(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 kx (/.f64 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 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx (/.f64 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 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx (/.f64 kx (sin.f64 ky)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.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))
(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))))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(*.f64 th (fma.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)) #s(literal 1 binary64)))
(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)
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/8 (/ (pow kx 2) (pow (sin ky) 3))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/16 (/ (pow kx 2) (pow (sin ky) 5))) (* 1/8 (/ 1 (pow (sin ky) 3))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
kx
(* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))
(*.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)) #s(literal 1 binary64)))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(*.f64 kx (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(+.f64 kx (*.f64 kx (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64)))))))
(* -1 kx)
(neg.f64 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)) #s(literal 1 binary64)) (neg.f64 kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2)))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (sin ky) 4) (pow kx 4))) (+ (* 1/16 (/ (pow (sin ky) 6) (pow kx 6))) (* 1/2 (/ (pow (sin ky) 2) (pow kx 2))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 kx #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64)))))) (neg.f64 kx))
kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) kx) kx)
(+ kx (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow kx 2))))) kx)) (* 1/2 (/ 1 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) (*.f64 kx kx))) (/.f64 (*.f64 ky ky) kx)) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(+ kx (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) kx)) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2))))) kx)))) (* 1/2 (/ 1 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 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx))) (*.f64 kx kx)))) (/.f64 (*.f64 ky ky) kx)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)))) kx)) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(hypot.f64 kx (sin.f64 ky))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(+ (pow kx 2) (pow (sin ky) 2))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (pow kx 2) (pow (sin ky) 2))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (pow kx 2) (pow (sin ky) 2))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))
(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
(*.f64 (*.f64 kx kx) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (*.f64 kx kx))))
(pow kx 2)
(*.f64 kx kx)
(+ (pow kx 2) (pow ky 2))
(fma.f64 ky ky (*.f64 kx kx))
(+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow kx 2))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 kx kx))
(+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow kx 2))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)) (*.f64 kx kx))
(+ (pow kx 2) (pow (sin ky) 2))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (pow kx 2) (pow (sin ky) 2))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (pow kx 2) (pow (sin ky) 2))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (pow kx 2) (pow (sin ky) 2))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (pow kx 2) (pow (sin ky) 2))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (pow kx 2) (pow (sin ky) 2))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (pow kx 2) (pow (sin ky) 2))
(fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))))))))) (/ (sin th) kx)))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (+ (* -1/6 (/ (sin th) kx)) (* (pow ky 2) (+ (* 1/120 (/ (sin th) kx)) (+ (* 1/12 (/ (sin th) (pow kx 3))) (+ (* 1/2 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (* (pow ky 2) (+ (* -1/2 (* kx (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8)))))))) (+ (* -1/12 (* kx (* (sin th) (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* -1/240 (/ (sin th) (pow kx 3))) (* -1/5040 (/ (sin th) kx))))))))))))) (/ (sin th) kx)))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(sin th)
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(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
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(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
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(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -5/16 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 6))) (* 3/8 (/ (sin th) (pow (sin ky) 4))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -5/16 binary64) (/.f64 (*.f64 (sin.f64 th) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 4 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)) kx)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (*.f64 kx kx))) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
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(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx)
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(* -1 (/ (* (sin ky) (sin th)) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 kx))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))) kx))
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(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx))
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(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6)))) (pow kx 6))) (+ (* -1/2 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th))))) kx))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(/ ky kx)
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* 1/12 (/ 1 (pow kx 3)))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 kx)) (+ (* 1/12 (/ 1 (pow kx 3))) (+ (* 1/2 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* kx (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6)))) (pow kx 2))) (+ (* 2/45 (/ 1 (pow kx 4))) (+ (* 2/3 (/ 1 (pow kx 6))) (/ 1 (pow kx 8))))))) (* -1/12 (* kx (+ (* 1/3 (/ 1 (pow kx 4))) (* 3/4 (/ 1 (pow kx 6))))))) (+ (* 1/5040 (/ 1 kx)) (* 1/240 (/ 1 (pow kx 3)))))))))) (+ (* 1/6 (/ 1 kx)) (* 1/2 (/ 1 (pow kx 3)))))) (/ 1 kx)))
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(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
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1
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(/ (sin ky) kx)
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(/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx)
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(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx)
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(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx)
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(* -1 (/ (sin ky) kx))
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(* -1 (/ (+ (sin ky) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))) kx))
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(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2))))) kx))
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(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4)))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin ky) 2) (+ (* -1 (pow (sin ky) 4)) (* 1/4 (pow (sin ky) 4))))) (pow (sin ky) 6))) (pow kx 6))) (* -1/2 (/ (pow (sin ky) 3) (pow kx 2)))))) kx))
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(+ 1/2 (* -1/2 (cos (* 2 ky))))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))
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(+ 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)))))))
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(* 1/2 (- 1 (cos (* 2 kx))))
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(+ (* 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)))))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))
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(pow ky 2)
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(* (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))))
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(+ 1/2 (* -1/2 (cos (* 2 ky))))
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(+ 1/2 (* -1/2 (cos (* 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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(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
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(* 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)))))))))))
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(* 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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(* 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 (fma.f64 #s(literal -1 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 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))))) (/.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)))) (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 #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 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/12 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 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 (*.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 (sin.f64 th) (+.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 -2 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) (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))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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))))) (*.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) (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 (*.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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (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 (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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
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(* th (+ (* ky (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))) (* (pow th 2) (+ (* ky (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/12 (/ (pow ky 2) (pow (sin kx) 3))))) (* (pow th 2) (+ (* ky (* (pow th 2) (+ (* -1/5040 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/10080 (/ (pow ky 2) (pow (sin kx) 3)))))) (* ky (+ (* -1/240 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/120 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx)))))))))))
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(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (+ (* ky (+ (* -1/4 (* (pow ky 2) (sin th))) (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* (pow kx 2) (* ky (- (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))))) (pow kx 3))
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(/ (+ (* -1/2 (* (pow ky 3) (sin th))) (* (pow kx 2) (+ (* ky (+ (* -1/4 (* (pow ky 2) (sin th))) (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* (pow kx 2) (+ (* ky (- (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))) (* (pow kx 2) (* ky (- (* 1/2 (+ (* -41/3024 (* (pow ky 2) (sin th))) (+ (* 13/240 (* (pow ky 2) (sin th))) (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th)))))))) (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))))))))) (pow kx 3))
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(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))))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))
(fma.f64 (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))
(fma.f64 (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx)))
(fma.f64 (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (sin.f64 th) (sin.f64 kx)))
(* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx)))
(/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 th)) (sin.f64 kx))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(*.f64 (*.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky)))))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(*.f64 (*.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky)))))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(*.f64 (*.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky)))))
(* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx)))
(/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) (sin.f64 th)) (sin.f64 kx))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(*.f64 (*.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky)))))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(*.f64 (*.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky)))))
(* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx)))))
(*.f64 (*.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky)))))
(/ (* th (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 th (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 th th) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (*.f64 ky ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(* th (+ (* -1/6 (/ (pow ky 2) (sin kx))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* 1/120 (/ (* (pow th 2) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))) (/ 1 (sin kx)))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 th th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx)) (/.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
(* th (+ (* -1/6 (/ (pow ky 2) (sin kx))) (+ (* (pow th 2) (+ (* -1/6 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))) (* 1/120 (/ (+ 1 (* -1/6 (pow ky 2))) (sin kx))))))) (/ 1 (sin kx)))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (*.f64 th th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/120 binary64) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) kx)
(*.f64 (sin.f64 th) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx))
(/ (+ (* 1/6 (* (pow kx 2) (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) kx)
(/ (+ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) kx)
(/.f64 (fma.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 7/360 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))))))) kx)
(/ (+ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (+ (* 1/720 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/6 (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))))))))) (+ (* -1/36 (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (* 1/120 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) (* -1/6 (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (fma.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 1/840 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal -7/360 binary64)))) (neg.f64 (*.f64 kx kx)) (*.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) #s(literal 7/360 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))))) (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) kx)
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))
(/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))
(/.f64 (*.f64 (sin.f64 th) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))

eval237.0ms (1.7%)

Memory
-19.0MiB live, 337.7MiB allocated
Compiler

Compiled 29 039 to 2 641 computations (90.9% saved)

prune156.0ms (1.1%)

Memory
16.4MiB live, 333.5MiB allocated
Pruning

45 alts after pruning (44 fresh and 1 done)

PrunedKeptTotal
New1 014301 044
Fresh21416
Picked415
Done000
Total1 020451 065
Accuracy
100.0%
Counts
1 065 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(/.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))))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
12.6%
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
33.0%
(/.f64 (*.f64 (sin.f64 ky) (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))))
73.8%
(/.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 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
▶39.1%
(/.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 ky ky))))
83.8%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))
27.6%
(/.f64 (*.f64 (sin.f64 ky) (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))))
33.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
40.2%
(/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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)))))))
40.2%
(/.f64 (*.f64 th (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)))))))
▶30.8%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
22.3%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
73.9%
(/.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)))
43.8%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
24.6%
(*.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))
18.3%
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (sin.f64 th))
▶95.0%
(*.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))
75.2%
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
▶53.4%
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
74.0%
(*.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))
75.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))) (sin.f64 th))
54.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
58.4%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
74.0%
(*.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))
33.2%
(*.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 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
70.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
32.1%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
36.5%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
26.0%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
33.4%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
24.9%
(*.f64 (/.f64 ky kx) (sin.f64 th))
27.7%
(*.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)))))))
27.6%
(*.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)))))
94.9%
(*.f64 (*.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.f64 th))
73.8%
(*.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))))))))
30.1%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
40.2%
(*.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))))))
73.9%
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (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)))
15.8%
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
▶15.8%
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
40.3%
(*.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))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
12.7%
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
33.4%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
✓30.3%
(sin.f64 th)
Compiler

Compiled 1 757 to 1 244 computations (29.2% saved)

simplify672.0ms (4.8%)

Memory
12.3MiB live, 818.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
✓cost-diff0
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓cost-diff0
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(*.f64 (sin.f64 ky) (sin.f64 th))
✓cost-diff0
(/.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 ky ky))))
✓cost-diff128
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky 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
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))
✓cost-diff0
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
✓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
27 612×lower-fma.f32
27 606×lower-fma.f64
3 520×lower-*.f32
3 504×lower-*.f64
2 304×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036258
071231
1125231
2210227
3392227
4653227
5973227
61198227
71424227
81725227
91938227
103338227
114798227
125493227
136000227
146415227
156684227
167211227
177619227
187620227
197620227
207620227
08438220
Stop Event
1×iter limit
1×node limit
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
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
th
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 th th)
#s(literal 1 binary64)
(/.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 (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 ky ky))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.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 ky ky)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.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 ky ky)
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
ky
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 ky ky)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
(sin.f64 kx)
kx
(sin.f64 th)
th
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
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
th
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))
(fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64))
#s(literal -1/6 binary64)
(*.f64 th th)
#s(literal 1 binary64)
(/.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 (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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.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 ky ky)))
(sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 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 ky ky)
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)
ky
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64))
(*.f64 ky ky)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 ky)
(sin.f64 kx)
kx
(sin.f64 th)
th

localize265.0ms (1.9%)

Memory
0.1MiB live, 348.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.9%
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
✓accuracy99.8%
(/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓accuracy95.8%
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓accuracy99.7%
(*.f64 (sin.f64 ky) (sin.f64 th))
✓accuracy95.8%
(/.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 ky ky))))
✓accuracy73.8%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy73.1%
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))
✓accuracy100.0%
(sin.f64 th)
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.8%
(*.f64 ky (sin.f64 th))
✓accuracy95.7%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
✓accuracy100.0%
(*.f64 th th)
✓accuracy100.0%
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
✓accuracy99.9%
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))
✓accuracy99.7%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
✓accuracy95.6%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
Samples
79.0ms136×0valid
53.0ms49×2valid
51.0ms71×1valid
Compiler

Compiled 290 to 41 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-sin: 22.0ms (18.3% of total)
ival-mult: 20.0ms (16.6% of total)
ival-cos: 17.0ms (14.1% of total)
ival-div: 15.0ms (12.4% of total)
adjust: 10.0ms (8.3% of total)
ival-add: 8.0ms (6.6% of total)
ival-pow2: 7.0ms (5.8% of total)
ival-sub: 6.0ms (5% of total)
ival-sqrt: 6.0ms (5% of total)
ival-hypot: 5.0ms (4.1% of total)
const: 5.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series115.0ms (0.8%)

Memory
-11.6MiB live, 229.3MiB allocated
Counts
24 → 480
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 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))>
#<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 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))>
#<alt (/.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 ky ky))))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (sin.f64 ky)>
#<alt (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))>
#<alt (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))>
#<alt (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))>
#<alt (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))>
#<alt (hypot.f64 (sin.f64 ky) (sin.f64 kx))>
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>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<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 (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 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))>
#<alt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))>
#<alt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))>
#<alt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))>
#<alt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))>
#<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))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<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) (- (* 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 (+ (* (* (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) (- (* 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 (/ (- (* 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)))))) (* 16 (/ 1 (pow (- 1 (cos (* 2 kx))) 4))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (* 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))))))))))))))))))))>
#<alt (/ (* (sin ky) (sin th)) ky)>
#<alt (/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th)))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))))) ky)>
#<alt (* -1 (/ (* (sin ky) (sin th)) ky))>
#<alt (* -1 (/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th)))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))))) ky))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<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 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<alt (* ky (sin th))>
#<alt (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* th (sin ky))>
#<alt (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<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) (+ (* 1/12 (/ (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) (+ (* 1/12 (/ (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))))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* -1/6 (* (* (pow ky 3) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow ky 3) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow ky 3) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow ky 3) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (* (pow ky 3) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow ky 3) (+ (* -1 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow ky 3) (+ (* -1 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (* -1 (* (pow ky 3) (+ (* -1 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))>
#<alt (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (pow (sin ky) 3))) (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow 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 (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky)))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* th (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (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) (+ (* 1/2 (* (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) (+ (* 1/12 (/ 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))))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* -1/6 (* (pow ky 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* -1/6 (* (pow ky 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))>
#<alt (* -1 (* (pow ky 3) (+ (* -1 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* -1 (* (pow ky 3) (+ (* -1 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* -1 (* (pow ky 3) (+ (* -1 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2))))) (pow (sin ky) 3))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* -1/6 (pow 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 (* ky (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))>
#<alt (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow ky 2)))>
#<alt (+ 1 (* -1/6 (pow ky 2)))>
#<alt (+ 1 (* -1/6 (pow ky 2)))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))>
#<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 (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 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 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<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) (+ (* -1/8 (* (/ (pow ky 2) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 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) (+ (* -1/8 (* (/ 1 (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/16 (* (/ (pow ky 2) (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 5))))))))))>
#<alt ky>
#<alt (* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))>
#<alt (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))>
#<alt (* -1 ky)>
#<alt (* -1 (* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 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 (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)))>
Calls

120 calls:

TimeVariablePointExpression
16.0ms
ky
@-inf
(* ky (sin th))
6.0ms
ky
@-inf
(* (sin ky) (sin th))
3.0ms
kx
@inf
(* (/ (/ 1 (/ 1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
3.0ms
ky
@-inf
(/ (* ky (+ (* (* ky ky) -1/6) 1)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
2.0ms
ky
@inf
(/ (* ky (sin th)) (sin kx))

rewrite141.0ms (1%)

Memory
14.2MiB live, 130.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 000×lower-*.f32
984×lower-*.f64
842×lower-fma.f32
836×lower-fma.f64
784×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036197
071170
1290170
01907170
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
24 → 352
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)))))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))
(*.f64 th th)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 ky (sin.f64 th))
(sin.f64 th)
(sin.f64 kx)
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky 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 ky ky))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 ky)
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
Outputs
(exp.f64 (*.f64 (log.f64 (+.f64 (+.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 kx kx)))))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (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 (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 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (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 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 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 ky ky)))) (-.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)))))) (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 (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 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 (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 (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))))))))
(pow.f64 (+.f64 (+.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 kx kx))))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (+.f64 (+.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 kx kx))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.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 kx kx))))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(literal -1 binary64)))
(sin.f64 ky)
(neg.f64 (neg.f64 (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 #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))
(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (+.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 kx kx)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (+.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 kx kx)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (+.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 kx kx)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (+.f64 (+.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 kx kx)))))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (sqrt.f64 (+.f64 (+.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 kx kx))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (+.f64 (+.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 kx kx)))))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (+.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 kx kx)))))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (+.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 kx kx))))))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (+.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 kx kx))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (+.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 kx kx))))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (+.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 kx kx))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (+.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 kx kx))))))))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 (+.f64 (+.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 kx kx)))))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (+.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 kx kx))))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (+.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 kx kx)))))))
(/.f64 (sin.f64 ky) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (+.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 kx kx)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (+.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 kx kx)))))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (+.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 kx kx)))))) (sin.f64 ky)) #s(literal 1 binary64)))
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(/.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 (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 (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))))))))
(pow.f64 (+.f64 (+.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 kx kx))))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (+.f64 (+.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 kx kx))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.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 kx kx))))) #s(literal 1/4 binary64)))

simplify414.0ms (2.9%)

Memory
-2.7MiB live, 635.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 564×lower-fma.f64
8 564×lower-fma.f32
7 252×lower-*.f64
7 252×lower-*.f32
5 880×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08918888
129658558
275418554
080488009
Stop Event
1×iter limit
1×node limit
Counts
480 → 472
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
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (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)
(/ (* 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)
(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))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))
(* 1/2 (- 1 (cos (* 2 kx))))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(pow ky 2)
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* (* 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) (- (* 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) (- (* 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 (/ (- (* 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)))))) (* 16 (/ 1 (pow (- 1 (cos (* 2 kx))) 4))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (* 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)) ky)
(/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(* -1 (/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(/ (* (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 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* ky (sin th))
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* th (sin ky))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
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) (+ (* 1/12 (/ (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) (+ (* 1/12 (/ (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))))))))))))))) (/ (sin th) (sin kx))))
(* -1/6 (* (* (pow ky 3) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow ky 3) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow ky 3) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow ky 3) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (* (pow ky 3) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow ky 3) (+ (* -1 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow ky 3) (+ (* -1 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(* -1 (* (pow ky 3) (+ (* -1 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2)))))) (pow (sin ky) 3))) (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow 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 (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky)))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* th (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (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) (+ (* 1/2 (* (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) (+ (* 1/12 (/ 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))))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* -1/6 (* (pow ky 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* -1/6 (* (pow ky 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(* -1 (* (pow ky 3) (+ (* -1 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* -1 (* (pow ky 3) (+ (* -1 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* -1 (* (pow ky 3) (+ (* -1 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2))))) (pow (sin ky) 3))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* -1/6 (pow 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 (* ky (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))
(* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* -1/6 (pow ky 3))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* -1/6 (pow ky 3))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
1
(+ 1 (* -1/6 (pow ky 2)))
(+ 1 (* -1/6 (pow ky 2)))
(+ 1 (* -1/6 (pow ky 2)))
(* -1/6 (pow ky 2))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(* -1/6 (pow ky 2))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(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)
(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)
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 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(* (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) (+ (* -1/8 (* (/ (pow ky 2) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 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) (+ (* -1/8 (* (/ 1 (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/16 (* (/ (pow ky 2) (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 5))))))))))
ky
(* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))
(* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))
(* -1 ky)
(* -1 (* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))
(* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))
(* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 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))))
(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)))
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 kx kx) (/.f64 (+.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 #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)))) (/.f64 (*.f64 kx kx) (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))))
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* 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 (sin.f64 th) (/.f64 #s(literal 1/120 binary64) (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 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (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 #s(literal -1/2 binary64) (*.f64 (*.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 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 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 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.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)))))) (/.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 #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 #s(literal -1/2 binary64) (*.f64 (*.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 (*.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) (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 -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64)))) (*.f64 (*.f64 (sin.f64 ky) #s(literal -1/6 binary64)) (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) (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))))
(fma.f64 ky (*.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 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 ky (*.f64 (*.f64 ky ky) (-.f64 (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (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))))) (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)))
(* 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) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (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))))) (fma.f64 (*.f64 ky ky) (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (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 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 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))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (neg.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))))))) (/.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 (*.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 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.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))
(+ 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 (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) (*.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) (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)))))
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(* 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)))))))))))
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(* 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) (- (* 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 (+ (* (* (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) (- (* 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 (/ (- (* 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)))))) (* 16 (/ 1 (pow (- 1 (cos (* 2 kx))) 4))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (* 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 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (+.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (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 (fma.f64 #s(literal -1 binary64) (/.f64 (+.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))))) (/.f64 #s(literal 16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 4 binary64)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/12 binary64) (*.f64 (+.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 (/.f64 (*.f64 #s(literal -1/60 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 #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))))))))) (*.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)) ky)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 ky ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -3/16 binary64))) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 ky ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -3/16 binary64)) (/.f64 (sin.f64 th) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -3/16 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (pow.f64 ky #s(literal 6 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 ky ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (neg.f64 ky))
(* -1 (/ (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 ky ky)) (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -3/16 binary64))) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 ky ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (sin th) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -3/16 binary64)) (/.f64 (sin.f64 th) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -3/16 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (pow.f64 ky #s(literal 6 binary64)))) (fma.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 ky ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))) (neg.f64 ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))))))
(*.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)))) (*.f64 ky ky)))) (*.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) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow 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) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky))))) (*.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)))) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #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)))) (*.f64 ky ky)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky 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 (sin.f64 ky) (/.f64 (sin.f64 th) ky) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (sin.f64 th))) (*.f64 ky (*.f64 ky 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))
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(+ (* (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))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
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(* ky (sin th))
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(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))
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(* th (sin ky))
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(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))
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(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))
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ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
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(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
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(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
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(sin ky)
(sin.f64 ky)
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(/ (* 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))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 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))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 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))))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky 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)) (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 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))) (*.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 #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))))
(* -1/6 (* (* (pow ky 3) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* (pow ky 3) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 ky (*.f64 ky ky)) (*.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) (sin.f64 th) (/.f64 (sin.f64 th) (*.f64 ky ky)))))
(* (pow ky 3) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 ky (*.f64 ky ky)) (*.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) (sin.f64 th) (/.f64 (sin.f64 th) (*.f64 ky ky)))))
(* (pow ky 3) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 ky (*.f64 ky ky)) (*.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) (sin.f64 th) (/.f64 (sin.f64 th) (*.f64 ky ky)))))
(* -1/6 (* (* (pow ky 3) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
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(* -1 (* (pow ky 3) (+ (* -1 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(*.f64 (*.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) (sin.f64 th) (neg.f64 (/.f64 (sin.f64 th) (*.f64 ky ky))))) (neg.f64 (*.f64 ky (*.f64 ky ky))))
(* -1 (* (pow ky 3) (+ (* -1 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
(*.f64 (*.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) (sin.f64 th) (neg.f64 (/.f64 (sin.f64 th) (*.f64 ky ky))))) (neg.f64 (*.f64 ky (*.f64 ky ky))))
(* -1 (* (pow ky 3) (+ (* -1 (* (/ (sin th) (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
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(/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky)))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky (sin.f64 ky)) (*.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 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 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow 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 (* ky (* (sin ky) (* (sin th) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))) (/ (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sin ky)))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky (sin.f64 ky)) (*.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 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 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 ky (sin.f64 ky)) (*.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 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 (*.f64 ky (sin.f64 th)) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky))))
(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* th (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* th (+ (* -1/6 (* (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (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 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))))))
(* th (+ (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (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 #s(literal -1/6 binary64) (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))))) (*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 (+ (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* ky (* (sin th) (+ 1 (* -1/6 (pow ky 2))))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(/ 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 ky (*.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 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 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 #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)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 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))))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (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 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 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)))))) (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))))) (neg.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))))))) (/.f64 ky (sin.f64 kx)))
(* -1/6 (* (pow ky 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky 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))))))
(* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 ky (*.f64 ky ky)) (*.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 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky)))))
(* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 ky (*.f64 ky ky)) (*.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 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky)))))
(* (pow ky 3) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 (*.f64 ky (*.f64 ky ky)) (*.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 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky)))))
(* -1/6 (* (pow ky 3) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky 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 (* (pow ky 3) (+ (* -1 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
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(* -1 (* (pow ky 3) (+ (* -1 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(*.f64 (*.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 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))) (neg.f64 (*.f64 ky (*.f64 ky ky))))
(* -1 (* (pow ky 3) (+ (* -1 (* (/ 1 (pow ky 2)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(*.f64 (*.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 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky)))) (neg.f64 (*.f64 ky (*.f64 ky ky))))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky))
(/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 ky))
(+ (* -1/2 (/ (* (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2))))) (pow (sin ky) 3))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) ky) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 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 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ 1 (* -1/6 (pow 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 (* ky (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin 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 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 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 (*.f64 #s(literal 1/2 binary64) ky) (*.f64 (*.f64 (sin.f64 ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 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 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 ky)))
(* (* ky (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 (+ 1 (* -1/6 (pow ky 2)))) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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))))
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(* -1/6 (pow ky 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky)))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(*.f64 (*.f64 ky (*.f64 ky ky)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky))))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(*.f64 (*.f64 ky (*.f64 ky ky)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky))))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(*.f64 (*.f64 ky (*.f64 ky ky)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky))))
(* -1/6 (pow ky 3))
(*.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 ky ky)))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky))) (neg.f64 (*.f64 ky (*.f64 ky ky))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky))) (neg.f64 (*.f64 ky (*.f64 ky ky))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 ky ky))) (neg.f64 (*.f64 ky (*.f64 ky ky))))
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow ky 2)))
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow ky 2)))
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(+ 1 (* -1/6 (pow ky 2)))
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* -1/6 (pow ky 2))
(*.f64 (*.f64 ky ky) #s(literal -1/6 binary64))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky))))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky))))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky))))
(* -1/6 (pow ky 2))
(*.f64 (*.f64 ky ky) #s(literal -1/6 binary64))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky))))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky))))
(* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))
(*.f64 (*.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 ky ky))))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(*.f64 (*.f64 kx 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))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(*.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)))
(* (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))
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 kx kx) (/.f64 (+.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 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))
(* (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) (+ (* -1/8 (* (/ (pow ky 2) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))
(fma.f64 (*.f64 ky ky) (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)))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 ky ky) (sqrt.f64 #s(literal 1/2 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) (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) (+ (* -1/8 (* (/ 1 (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/16 (* (/ (pow ky 2) (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 5))))))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/4 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)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 ky ky)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 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 5 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))))
ky
(* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(fma.f64 ky (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 ky ky)) ky)
(* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))
(fma.f64 ky (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (pow.f64 ky #s(literal 4 binary64)))) ky)
(* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))
(fma.f64 ky (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 ky ky)))) ky)
(* -1 ky)
(neg.f64 ky)
(* -1 (* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) #s(literal 1 binary64)) (neg.f64 ky))
(* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 ky #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 ky))
(* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))))
(neg.f64 (fma.f64 ky (fma.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 ky #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 ky ky)))) ky))
(* 2 (pow kx 2))
(*.f64 #s(literal 2 binary64) (*.f64 kx kx))
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64)))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(- 1 (cos (* 2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (* 2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (* 2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (* 2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 kx))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 kx))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 kx))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 kx))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(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))
(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 kx kx) (/.f64 (+.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 #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)))) (/.f64 (*.f64 kx kx) (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))

eval144.0ms (1%)

Memory
16.9MiB live, 271.0MiB allocated
Compiler

Compiled 22 515 to 2 245 computations (90% saved)

prune220.0ms (1.6%)

Memory
10.6MiB live, 408.4MiB allocated
Pruning

68 alts after pruning (67 fresh and 1 done)

PrunedKeptTotal
New93038968
Fresh102939
Picked505
Done011
Total945681 013
Accuracy
100.0%
Counts
1 013 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.8%
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
73.9%
(/.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))))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
17.8%
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
5.4%
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
15.2%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
▶17.2%
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
12.6%
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
▶22.4%
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
▶33.0%
(/.f64 (*.f64 (sin.f64 ky) (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))))
39.1%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (/.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)))) #s(literal 1/2 binary64) (*.f64 ky ky))))
73.8%
(/.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 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
27.6%
(/.f64 (*.f64 (sin.f64 ky) (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))))
16.9%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
33.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
22.7%
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
19.5%
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
40.2%
(/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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)))))))
40.2%
(/.f64 (*.f64 th (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)))))))
22.1%
(/.f64 (*.f64 ky (sin.f64 th)) (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))
22.1%
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
27.0%
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64))))
44.4%
(/.f64 (*.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 ky ky))))
26.6%
(/.f64 (*.f64 ky (sin.f64 th)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
22.3%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
19.8%
(/.f64 (*.f64 ky th) (sin.f64 kx))
73.9%
(/.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)))
43.8%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
24.6%
(*.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))
15.8%
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
18.3%
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (sin.f64 th))
50.5%
(*.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)) (*.f64 ky ky)))) (sin.f64 th))
30.2%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
56.7%
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
74.0%
(*.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))
33.4%
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
54.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
58.4%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
▶74.0%
(*.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))
43.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
70.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
36.5%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
26.0%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
33.4%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
24.9%
(*.f64 (/.f64 ky kx) (sin.f64 th))
39.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
48.7%
(*.f64 (*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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.f64 th))
27.7%
(*.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)))))))
27.6%
(*.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)))))
73.8%
(*.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))))))))
5.6%
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
30.1%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
40.2%
(*.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))))))
24.7%
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
39.9%
(*.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 ky ky)))))
33.4%
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
17.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
73.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (+.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 kx kx))))))) (sin.f64 th)))
15.8%
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
15.2%
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
7.3%
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th)))))
23.1%
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
14.5%
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
▶16.2%
(*.f64 th #s(literal 1 binary64))
12.7%
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
22.4%
(*.f64 ky (/.f64 th (sin.f64 kx)))
28.0%
(*.f64 ky (*.f64 (/.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (+.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 kx kx))))))) (sin.f64 th)))
14.5%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
✓30.3%
(sin.f64 th)
Compiler

Compiled 2 683 to 1 766 computations (34.2% saved)

simplify274.0ms (1.9%)

Memory
-3.5MiB live, 487.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 th)
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(*.f64 (sin.f64 ky) (sin.f64 th))
✓cost-diff0
(/.f64 (*.f64 (sin.f64 ky) (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))))
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓cost-diff0
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
✓cost-diff128
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))
✓cost-diff0
(*.f64 kx kx)
✓cost-diff0
(fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th)))
✓cost-diff320
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
✓cost-diff320
(*.f64 th #s(literal 1 binary64))
✓cost-diff0
(/.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)))))))
✓cost-diff0
(*.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))
✓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)))))
Rules
6 478×lower-fma.f32
6 470×lower-fma.f64
4 162×lower-*.f32
4 136×lower-*.f64
2 080×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044330
082328
1137328
2261321
3488313
4899313
51147312
61804312
72604312
84403312
95187312
106843312
08082300
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.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 (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 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))))))
(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
(*.f64 th #s(literal 1 binary64))
th
#s(literal 1 binary64)
(/.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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 kx kx)
kx
#s(literal 1 binary64)
(*.f64 ky (sin.f64 th))
ky
(sin.f64 th)
th
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(sin.f64 ky)
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)
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.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 ky ky)
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 ky)
ky
(sin.f64 th)
th
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (-.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))))
#s(literal 1 binary64)
(cos.f64 (*.f64 kx #s(literal -2 binary64)))
(*.f64 kx #s(literal -2 binary64))
kx
#s(literal -2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(*.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 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 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)))))))
(/.f64 (sin.f64 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))))
(sin.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))))))
(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)
(sin.f64 th)
th
(*.f64 th #s(literal 1 binary64))
th
th
#s(literal 1 binary64)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) kx))))
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th)))
(*.f64 ky (*.f64 (sin.f64 th) (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))
#s(literal 1/6 binary64)
(*.f64 kx kx)
kx
#s(literal 1 binary64)
(*.f64 ky (sin.f64 th))
ky
(sin.f64 th)
th
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th)) (sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (sin.f64 ky) (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th))
(sin.f64 ky)
ky
(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)
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))
(sqrt.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 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 ky ky)
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 ky)
ky
(sin.f64 th)
th
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (-.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))))
#s(literal 1 binary64)
(cos.f64 (*.f64 kx #s(literal -2 binary64)))
(*.f64 kx #s(literal -2 binary64))
kx
#s(literal -2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

localize354.0ms (2.5%)

Memory
24.2MiB live, 495.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy95.7%
(/.f64 (*.f64 (sin.f64 ky) (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))))
✓accuracy81.3%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
✓accuracy73.8%
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
✓accuracy97.3%
(*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓accuracy92.6%
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
✓accuracy73.8%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy73.1%
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))
✓accuracy99.9%
(fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))
✓accuracy99.8%
(*.f64 ky (sin.f64 th))
✓accuracy87.4%
(*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th)))
✓accuracy84.7%
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
✓accuracy100.0%
(*.f64 th #s(literal 1 binary64))
✓accuracy99.8%
(*.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))
✓accuracy95.6%
(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))))))
✓accuracy74.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓accuracy73.8%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
Samples
152.0ms114×2valid
63.0ms54×1valid
34.0ms71×0valid
29.0ms17×3valid
Compiler

Compiled 345 to 49 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 225.0ms
ival-cos: 83.0ms (36.9% of total)
ival-mult: 33.0ms (14.7% of total)
ival-div: 31.0ms (13.8% of total)
adjust: 24.0ms (10.7% of total)
ival-add: 16.0ms (7.1% of total)
ival-sqrt: 12.0ms (5.3% of total)
ival-sin: 11.0ms (4.9% of total)
const: 9.0ms (4% of total)
ival-sub: 5.0ms (2.2% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series116.0ms (0.8%)

Memory
-25.7MiB live, 218.1MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#<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 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))>
#<alt (*.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))>
#<alt (/.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)))))))>
#<alt (*.f64 th #s(literal 1 binary64))>
#<alt (/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)>
#<alt (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th)))>
#<alt (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))>
#<alt (*.f64 kx kx)>
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))>
#<alt (/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))>
#<alt (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))>
#<alt (sin.f64 ky)>
#<alt (/.f64 (*.f64 (sin.f64 ky) (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))))>
#<alt (*.f64 (sin.f64 ky) (sin.f64 th))>
#<alt (sin.f64 th)>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))>
#<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))))))>
#<alt (*.f64 ky (sin.f64 th))>
#<alt (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))>
#<alt (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))>
Outputs
#<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 (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 (* (* 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))))))))))))))>
#<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)))))) (* (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))))))))))))))))))))>
#<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)))))))))>
#<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)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<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)))))))))>
#<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)))))))))>
#<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 (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* 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)))))))))))>
#<alt (* 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))))))))))))))>
#<alt (* 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))))))))))))))))>
#<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)))))))))>
#<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)))))))))>
#<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)))))))))>
#<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)))))))))>
#<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 (* (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)))))))))>
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#<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 th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
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#<alt (* 1/6 (* kx (* ky (sin th))))>
#<alt (* kx (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))>
#<alt (* kx (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))>
#<alt (* kx (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))>
#<alt (* 1/6 (* kx (* ky (sin th))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* ky (sin th)) (pow kx 2))) (* -1/6 (* ky (sin th))))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* ky (sin th)) (pow kx 2))) (* -1/6 (* ky (sin th))))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* ky (sin th)) (pow kx 2))) (* -1/6 (* ky (sin th))))))>
#<alt (/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
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#<alt (/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* ky (* th (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (* th (+ (* -1/6 (/ (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
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#<alt (* (pow kx 2) (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))>
#<alt (* 1/6 (* (pow kx 2) (* ky (sin th))))>
#<alt (* (pow kx 2) (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* th (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* th (+ (* -1/6 (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2)))))) (* ky (+ 1 (* 1/6 (pow kx 2))))))>
#<alt (* th (+ (* ky (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* ky (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))))))))>
#<alt (* th (+ (* ky (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* ky (+ 1 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2)))))) (* 1/120 (* ky (+ 1 (* 1/6 (pow kx 2)))))))))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt 1>
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#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))>
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#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))>
#<alt (pow kx 2)>
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#<alt (pow kx 2)>
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#<alt (pow kx 2)>
#<alt (pow kx 2)>
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#<alt (pow ky 2)>
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#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))>
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#<alt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))>
#<alt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))>
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#<alt (* 1/2 (- 1 (cos (* 2 kx))))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))>
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#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<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))) (- (* 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) (+ 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))) (- (* 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 (/ (- (* 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)))))) (* 16 (/ 1 (pow (- 1 (cos (* 2 kx))) 4))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (+ th (* -1/6 (pow th 3))) (- (* 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))))))))))))))))))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky)>
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#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) ky)>
#<alt (* -1 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))>
#<alt (* -1 (/ (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) ky))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))>
#<alt (* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))>
#<alt (* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))))>
#<alt (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (pow ky 3))) (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -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) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<alt (* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<alt (* ky (+ th (* -1/6 (pow th 3))))>
#<alt (* ky (+ th (+ (* -1/6 (* (pow ky 2) (+ th (* -1/6 (pow th 3))))) (* -1/6 (pow th 3)))))>
#<alt (* ky (+ th (+ (* -1/6 (pow th 3)) (* (pow ky 2) (+ (* -1/6 (+ th (* -1/6 (pow th 3)))) (* 1/120 (* (pow ky 2) (+ th (* -1/6 (pow th 3))))))))))>
#<alt (* ky (+ th (+ (* -1/6 (pow th 3)) (* (pow ky 2) (+ (* -1/6 (+ th (* -1/6 (pow th 3)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ th (* -1/6 (pow th 3))))) (* 1/120 (+ th (* -1/6 (pow th 3)))))))))))>
#<alt (* (sin ky) (+ th (* -1/6 (pow th 3))))>
#<alt (* (sin ky) (+ th (* -1/6 (pow th 3))))>
#<alt (* (sin ky) (+ th (* -1/6 (pow th 3))))>
#<alt (* (sin ky) (+ th (* -1/6 (pow th 3))))>
#<alt (* (sin ky) (+ th (* -1/6 (pow th 3))))>
#<alt (* (sin ky) (+ th (* -1/6 (pow th 3))))>
#<alt (* (sin ky) (+ th (* -1/6 (pow th 3))))>
#<alt (* (sin ky) (+ th (* -1/6 (pow th 3))))>
#<alt (* th (sin ky))>
#<alt (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))>
#<alt (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))>
#<alt (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))>
#<alt (* -1/6 (* (pow th 3) (sin ky)))>
#<alt (* (pow th 3) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* (pow th 3) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* (pow th 3) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* -1/6 (* (pow th 3) (sin ky)))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (pow th 2))) (* 1/6 (sin ky)))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (pow th 2))) (* 1/6 (sin ky)))))>
#<alt (* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (pow th 2))) (* 1/6 (sin ky)))))>
#<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)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* ky (+ (* -1/6 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))>
#<alt (* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))>
#<alt (* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* th (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* th (+ (* -1/6 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))>
#<alt (* th (+ (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))>
#<alt (* th (+ (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* 1/12 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt 1/2) 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx)>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* ky (sin th))>
#<alt (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* th (sin ky))>
#<alt (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin 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 (* 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 (+ 1/2 (* -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)))))))>
#<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 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 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<alt (sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<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) (+ (* -1/8 (* (/ (pow ky 2) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 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) (+ (* -1/8 (* (/ 1 (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/16 (* (/ (pow ky 2) (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 5))))))))))>
#<alt ky>
#<alt (* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))>
#<alt (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))>
#<alt (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))>
#<alt (* -1 ky)>
#<alt (* -1 (* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 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 (* -2 kx)))>
#<alt (- 1 (cos (* -2 kx)))>
#<alt (- 1 (cos (* -2 kx)))>
#<alt (- 1 (cos (* -2 kx)))>
#<alt (* kx (sqrt 2))>
#<alt (* kx (+ (sqrt 2) (* -1/3 (/ (pow kx 2) (sqrt 2)))))>
#<alt (* kx (+ (sqrt 2) (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2)))))))>
#<alt (* kx (+ (sqrt 2) (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2)))))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (* kx (* (sqrt 1/2) (sqrt 2)))>
#<alt (* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))>
#<alt (* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
Calls

123 calls:

TimeVariablePointExpression
8.0ms
ky
@-inf
(/ (sin ky) (sqrt (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky)))))))
3.0ms
ky
@0
(* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) (sin th))
3.0ms
kx
@-inf
(/ (* (sin ky) (+ (* th (* -1/6 (* th th))) th)) (sqrt (+ (* (- 1 (cos (+ kx kx))) 1/2) (* ky ky))))
3.0ms
ky
@inf
(* (+ (* 1/6 (* kx kx)) 1) (* ky (sin th)))
2.0ms
ky
@inf
(/ (* (sin ky) (sin th)) (* (sqrt (- 1 (cos (* kx -2)))) (sqrt 1/2)))

rewrite178.0ms (1.3%)

Memory
12.1MiB live, 167.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 104×lower-*.f32
1 078×lower-*.f64
1 050×lower-fma.f32
1 042×lower-fma.f64
816×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044236
082232
1283230
01987223
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
23 → 295
Calls
Call 1
Inputs
(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 (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 (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)))))))
(*.f64 th #s(literal 1 binary64))
(/.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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))
(*.f64 kx kx)
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(sin.f64 ky)
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 th)
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(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 ky (sin.f64 th))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(sqrt.f64 (-.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)))
Outputs
(+.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (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)))
(+.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)))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.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)))) (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.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)))))
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 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)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #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 kx kx)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))
(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 kx kx))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.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))) (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)))))
(/.f64 #s(literal 1 binary64) (/.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))) (-.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)))))
(/.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))) (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 (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))) (+.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)) #s(literal 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))))))
(/.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))) (-.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))))
(/.f64 (neg.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)))) (neg.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 (neg.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)))) (neg.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)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (-.f64 (*.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 kx kx)))))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 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 (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))))
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 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 kx kx))))))) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64))))
(*.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))) (/.f64 #s(literal 1 binary64) (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 (-.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))) (/.f64 #s(literal 1 binary64) (-.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)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 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) (+.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) (-.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 kx kx)))))))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(/.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (fma.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 kx kx))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/4 binary64) (cos.f64 (+.f64 kx kx))))))
(/.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 kx kx))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.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 kx kx)))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
(/.f64 (-.f64 (*.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 kx kx)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #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 kx kx)) #s(literal -1/2 binary64)) (-.f64 (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.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 kx kx))))))) (/.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 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)))) (*.f64 (sin.f64 ky) (sin.f64 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) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
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(pow.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (sin.f64 ky) (/.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))))))))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) #s(literal -2 binary64))
(*.f64 (sin.f64 ky) (sin.f64 th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1/2 binary64))
(sin.f64 th)
(+.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 (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)))
(*.f64 ky (sin.f64 th))
(*.f64 (sin.f64 th) ky)
(exp.f64 (*.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))
(/.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)) (*.f64 (*.f64 ky ky) (*.f64 (*.f64 ky ky) (*.f64 ky ky))))) (sqrt.f64 (fma.f64 (*.f64 ky ky) (-.f64 (*.f64 ky ky) (*.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)) (*.f64 (*.f64 ky ky) (*.f64 ky ky)))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (neg.f64 (*.f64 ky ky)))))
(pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)) #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) (*.f64 ky ky)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(+.f64 (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (-.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 #s(literal -2 binary64)))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #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 #s(literal -2 binary64))))))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #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 #s(literal -2 binary64)))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #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 #s(literal -2 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 (sqrt.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 #s(literal -2 binary64)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #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)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))

simplify900.0ms (6.4%)

Memory
-168.2MiB live, 598.1MiB allocated
Algorithm
1×egg-herbie
Rules
8 000×lower-fma.f64
8 000×lower-fma.f32
6 934×lower-*.f64
6 934×lower-*.f32
6 250×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
097110877
1330110219
082459535
Stop Event
1×iter limit
1×node limit
Counts
492 → 476
Calls
Call 1
Inputs
(+ 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))))))
(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)))))
(* (* 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))))))))))
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(/ (* ky (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(* 1/6 (* kx (* ky (sin th))))
(* kx (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))
(* kx (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))
(* kx (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))
(* 1/6 (* kx (* ky (sin th))))
(* -1 (* kx (+ (* -1 (/ (* ky (sin th)) (pow kx 2))) (* -1/6 (* ky (sin th))))))
(* -1 (* kx (+ (* -1 (/ (* ky (sin th)) (pow kx 2))) (* -1/6 (* ky (sin th))))))
(* -1 (* kx (+ (* -1 (/ (* ky (sin th)) (pow kx 2))) (* -1/6 (* ky (sin th))))))
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* th (+ 1 (* 1/6 (pow kx 2))))) kx)
(* th (+ (* -1/6 (/ (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(* ky (sin th))
(+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th)))
(+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th)))
(+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th)))
(* 1/6 (* (pow kx 2) (* ky (sin th))))
(* (pow kx 2) (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))
(* 1/6 (* (pow kx 2) (* ky (sin th))))
(* (pow kx 2) (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* th (+ 1 (* 1/6 (pow kx 2)))))
(* th (+ (* -1/6 (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2)))))) (* ky (+ 1 (* 1/6 (pow kx 2))))))
(* th (+ (* ky (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* ky (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))))))))
(* th (+ (* ky (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* ky (+ 1 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2)))))) (* 1/120 (* ky (+ 1 (* 1/6 (pow kx 2)))))))))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
1
(+ 1 (* 1/6 (pow kx 2)))
(+ 1 (* 1/6 (pow kx 2)))
(+ 1 (* 1/6 (pow kx 2)))
(* 1/6 (pow kx 2))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* 1/6 (pow kx 2))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(pow kx 2)
(pow kx 2)
(pow kx 2)
(pow kx 2)
(pow kx 2)
(pow kx 2)
(pow kx 2)
(pow kx 2)
(pow kx 2)
(pow kx 2)
(pow kx 2)
(pow kx 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))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))
(* 1/2 (- 1 (cos (* 2 kx))))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))
(pow ky 2)
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* (pow ky 2) (+ 1 (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* (* 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))) (- (* 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))) (- (* 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 (/ (- (* 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)))))) (* 16 (/ 1 (pow (- 1 (cos (* 2 kx))) 4))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (+ th (* -1/6 (pow th 3))) (- (* 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)))) ky)
(/ (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) ky)
(* -1 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))
(* -1 (/ (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) ky))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))))
(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (pow ky 3))) (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -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) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* ky (+ th (* -1/6 (pow th 3))))
(* ky (+ th (+ (* -1/6 (* (pow ky 2) (+ th (* -1/6 (pow th 3))))) (* -1/6 (pow th 3)))))
(* ky (+ th (+ (* -1/6 (pow th 3)) (* (pow ky 2) (+ (* -1/6 (+ th (* -1/6 (pow th 3)))) (* 1/120 (* (pow ky 2) (+ th (* -1/6 (pow th 3))))))))))
(* ky (+ th (+ (* -1/6 (pow th 3)) (* (pow ky 2) (+ (* -1/6 (+ th (* -1/6 (pow th 3)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ th (* -1/6 (pow th 3))))) (* 1/120 (+ th (* -1/6 (pow th 3)))))))))))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
(* th (sin ky))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(* -1/6 (* (pow th 3) (sin ky)))
(* (pow th 3) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* (pow th 3) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* (pow th 3) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* -1/6 (* (pow th 3) (sin ky)))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (pow th 2))) (* 1/6 (sin ky)))))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (pow th 2))) (* 1/6 (sin ky)))))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (pow th 2))) (* 1/6 (sin ky)))))
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)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* ky (+ (* -1/6 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* th (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* th (+ (* -1/6 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(* th (+ (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(* th (+ (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt 1/2) 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx)
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* ky (sin th))
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* th (sin ky))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin 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)
(* 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 (+ 1/2 (* -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)))))))
(* 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))
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 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(* (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) (+ (* -1/8 (* (/ (pow ky 2) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 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) (+ (* -1/8 (* (/ 1 (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/16 (* (/ (pow ky 2) (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 5))))))))))
ky
(* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))
(* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))
(* -1 ky)
(* -1 (* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))
(* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))
(* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 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 (* -2 kx)))
(- 1 (cos (* -2 kx)))
(- 1 (cos (* -2 kx)))
(- 1 (cos (* -2 kx)))
(* kx (sqrt 2))
(* kx (+ (sqrt 2) (* -1/3 (/ (pow kx 2) (sqrt 2)))))
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2)))))))
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2)))))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(* kx (* (sqrt 1/2) (sqrt 2)))
(* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))
(* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))
(* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
Outputs
(+ 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 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (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)) #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 #s(literal -1/3 binary64) (*.f64 ky ky) #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)))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(*.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(*.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)))
(* (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)))
(+ 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))
(* (* 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 -2 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 -1/6 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)))))))) (*.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 -2 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 -1/6 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))))))))) (*.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 (*.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))))))) #s(literal 1/120 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 (sin.f64 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 (sin.f64 th) (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 -2 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 -1/6 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))))))))) (*.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 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (*.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))))) (* 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 (*.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))))) (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 (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 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))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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))))) (*.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) (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 (*.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))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (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 (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 (/.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 (*.f64 #s(literal -1/6 binary64) (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 (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 1/2 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 (/.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 (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)))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/120 binary64) (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 #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 (*.f64 #s(literal -1/6 binary64) (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 (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))))))))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -2 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)))) (sqrt.f64 #s(literal 2 binary64))) (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 1/3 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)))) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 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 (/.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (*.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)))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/12 binary64) (+.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 #s(literal -1/60 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 (*.f64 #s(literal -1/5040 binary64) (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 -1/6 binary64) (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 (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) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 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 (* 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)))))))))
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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))))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (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 kx kx) (sin.f64 ky))) (*.f64 (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) (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))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (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 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (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))))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (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) (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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th
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(/ (* ky (sin th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
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(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(/.f64 (*.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(/.f64 (*.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(* 1/6 (* kx (* ky (sin th))))
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(* kx (+ (* 1/6 (* ky (sin th))) (/ (* ky (sin th)) (pow kx 2))))
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(* 1/6 (* kx (* ky (sin th))))
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(* -1 (* kx (+ (* -1 (/ (* ky (sin th)) (pow kx 2))) (* -1/6 (* ky (sin th))))))
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(* -1 (* kx (+ (* -1 (/ (* ky (sin th)) (pow kx 2))) (* -1/6 (* ky (sin th))))))
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(* -1 (* kx (+ (* -1 (/ (* ky (sin th)) (pow kx 2))) (* -1/6 (* ky (sin th))))))
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(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
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(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
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(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
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(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
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(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/ (* ky (* th (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (*.f64 ky (fma.f64 th (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) th)) kx)
(* th (+ (* -1/6 (/ (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1/120 binary64) kx) (*.f64 (fma.f64 ky (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) ky) (/.f64 #s(literal -1/6 binary64) kx))) (*.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* ky (+ 1 (* 1/6 (pow kx 2)))) kx)))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/5040 binary64) kx) (*.f64 (fma.f64 ky (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) ky) (/.f64 #s(literal 1/120 binary64) kx))) (*.f64 (fma.f64 ky (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) ky) (/.f64 #s(literal -1/6 binary64) kx))) (*.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))))
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
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(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
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(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
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(* 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))) (- (* 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 (/ (- (* 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)))))) (* 16 (/ 1 (pow (- 1 (cos (* 2 kx))) 4))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (+ th (* -1/6 (pow th 3))) (- (* 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))))))))))))))))))))
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(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky)
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(/ (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) ky)
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(/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) ky)
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(/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) ky)
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(* -1 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))
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(* -1 (/ (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))) ky))
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(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3)))))) ky))
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(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/8 (pow (- 1 (cos (* 2 kx))) 3)) (* 1/4 (* (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (- 1 (cos (* 2 kx)))))))) (pow ky 6))) (+ (* -1/4 (/ (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (- 1 (cos (* 2 kx))))) (pow ky 2))) (* (sin ky) (+ th (* -1/6 (pow th 3))))))) ky))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
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(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
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(* (pow th 3) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))
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(* -1/6 (* (* (pow th 3) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))))
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(* -1 (* (pow th 3) (+ (* -1 (* (/ (sin ky) (pow th 2)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))))
(*.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)))) (*.f64 ky ky)))) (-.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.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 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))))
(*.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)))) (*.f64 ky ky)))) (-.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.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 (cos (* 2 kx)))) (pow ky 2)))))) (* 1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))))))
(*.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)))) (*.f64 ky ky)))) (-.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 th th)))) (neg.f64 (*.f64 th (*.f64 th th))))
(/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (+ th (* -1/6 (pow th 3))))) (pow ky 3))) (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th))) (*.f64 ky (*.f64 ky ky))) (*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))
(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 -1/6 binary64) (*.f64 th (*.f64 th th)) th) (+.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 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (*.f64 ky (*.f64 ky ky))))) (*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (+ th (* -1/6 (pow th 3))) (+ (* -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) (* (+ th (* -1/6 (pow th 3))) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (+ th (* -1/6 (pow th 3)))) ky))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (*.f64 ky (*.f64 ky ky))) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (+.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 (*.f64 kx kx) ky) (*.f64 (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (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 (/.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 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky)))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* (* (sin ky) (+ th (* -1/6 (pow th 3)))) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(*.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)))) (*.f64 ky ky)))))
(* ky (+ th (* -1/6 (pow th 3))))
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th))
(* ky (+ th (+ (* -1/6 (* (pow ky 2) (+ th (* -1/6 (pow th 3))))) (* -1/6 (pow th 3)))))
(*.f64 ky (fma.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (*.f64 th (*.f64 th th))) th))
(* ky (+ th (+ (* -1/6 (pow th 3)) (* (pow ky 2) (+ (* -1/6 (+ th (* -1/6 (pow th 3)))) (* 1/120 (* (pow ky 2) (+ th (* -1/6 (pow th 3))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(* ky (+ th (+ (* -1/6 (pow th 3)) (* (pow ky 2) (+ (* -1/6 (+ th (* -1/6 (pow th 3)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ th (* -1/6 (pow th 3))))) (* 1/120 (+ th (* -1/6 (pow th 3)))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 #s(literal -1/6 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
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(* (sin ky) (+ th (* -1/6 (pow th 3))))
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(* (sin ky) (+ th (* -1/6 (pow th 3))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th))
(* (sin ky) (+ th (* -1/6 (pow th 3))))
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(* (sin ky) (+ th (* -1/6 (pow th 3))))
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(* (sin ky) (+ th (* -1/6 (pow th 3))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))
(* -1/6 (* (pow th 3) (sin ky)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (sin.f64 ky))
(* (pow th 3) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(*.f64 (*.f64 th (*.f64 th th)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th))))
(* (pow th 3) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(*.f64 (*.f64 th (*.f64 th th)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th))))
(* (pow th 3) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(*.f64 (*.f64 th (*.f64 th th)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th))))
(* -1/6 (* (pow th 3) (sin ky)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (sin.f64 ky))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (pow th 2))) (* 1/6 (sin ky)))))
(*.f64 (-.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 th th))) (neg.f64 (*.f64 th (*.f64 th th))))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (pow th 2))) (* 1/6 (sin ky)))))
(*.f64 (-.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 th th))) (neg.f64 (*.f64 th (*.f64 th th))))
(* -1 (* (pow th 3) (+ (* -1 (/ (sin ky) (pow th 2))) (* 1/6 (sin ky)))))
(*.f64 (-.f64 (*.f64 (sin.f64 ky) #s(literal 1/6 binary64)) (/.f64 (sin.f64 ky) (*.f64 th th))) (neg.f64 (*.f64 th (*.f64 th th))))
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 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(*.f64 ky (fma.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)) #s(literal 1 binary64)))
(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)) (sqrt 1/2)) (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 1/2 binary64))))
(* ky (+ (* -1/6 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(*.f64 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 -1/6 binary64) (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(*.f64 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 -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) (sin.f64 th)) (sqrt.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 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(*.f64 ky (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 -1/5040 binary64) (*.f64 (*.f64 ky ky) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (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 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (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 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (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 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (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 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (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 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (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 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(* ky (sin th))
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(* ky (sin th))
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(* ky (sin th))
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(* ky (sin th))
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(* ky (sin th))
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(* ky (sin th))
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(* ky (sin th))
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(* ky th)
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(* th (+ ky (* -1/6 (* ky (pow th 2)))))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))
(* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* 1/120 (* ky (pow th 2)))))))
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(* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* (pow th 2) (+ (* -1/5040 (* ky (pow th 2))) (* 1/120 ky)))))))
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(* ky (sin th))
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(* ky (sin th))
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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)))))
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(+ 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)))))
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(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
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(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
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(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
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(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
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(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
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(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
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(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))
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(+ (* 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 ky (/.f64 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) (+ (* -1/8 (* (/ (pow ky 2) (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))
(fma.f64 (*.f64 ky ky) (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)))))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 ky ky)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 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) (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) (+ (* -1/8 (* (/ 1 (pow (sqrt 1/2) 3)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/16 (* (/ (pow ky 2) (pow (sqrt 1/2) 5)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 5))))))))))
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ky
(* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))
(fma.f64 ky (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (*.f64 ky ky)) ky)
(* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))
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(* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))
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(* -1 ky)
(neg.f64 ky)
(* -1 (* ky (+ 1 (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))
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(* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))))
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(* -1 (* ky (+ 1 (+ (* -1/32 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (+ (* 1/128 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6))) (* 1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))))))
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(* 2 (pow kx 2))
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(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
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(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(- 1 (cos (* -2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (* -2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (* -2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (* -2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (* -2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (* -2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (* -2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(- 1 (cos (* -2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(* kx (sqrt 2))
(*.f64 kx (sqrt.f64 #s(literal 2 binary64)))
(* kx (+ (sqrt 2) (* -1/3 (/ (pow kx 2) (sqrt 2)))))
(*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2)))))))
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) #s(literal 1/30 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2)))))))
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) #s(literal 1/1260 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1/60 binary64) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(* kx (* (sqrt 1/2) (sqrt 2)))
(*.f64 (*.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))
(*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/30 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/30 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/1260 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #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)))
(* (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)))
(* (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)))
(* (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)))
(* (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)))
(* (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)))
(* (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)))
(* (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)))

eval203.0ms (1.4%)

Memory
9.4MiB live, 238.3MiB allocated
Compiler

Compiled 22 980 to 2 008 computations (91.3% saved)

prune251.0ms (1.8%)

Memory
-6.2MiB live, 289.7MiB allocated
Pruning

98 alts after pruning (95 fresh and 3 done)

PrunedKeptTotal
New80939848
Fresh65662
Picked325
Done011
Total81898916
Accuracy
100.0%
Counts
916 → 98
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.8%
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
15.1%
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
16.9%
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
73.9%
(/.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))))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
17.8%
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
10.4%
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 2 binary64)))
5.4%
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
15.2%
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
21.0%
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
11.2%
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
11.4%
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
33.1%
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))
11.2%
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
15.9%
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
12.6%
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
19.5%
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
19.6%
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
10.9%
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
19.5%
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
14.6%
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
23.4%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
✓33.0%
(/.f64 (*.f64 (sin.f64 ky) (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))))
22.6%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
39.1%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (/.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)))) #s(literal 1/2 binary64) (*.f64 ky ky))))
73.8%
(/.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 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
27.6%
(/.f64 (*.f64 (sin.f64 ky) (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))))
16.9%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
33.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
22.7%
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
19.5%
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
40.2%
(/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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)))))))
19.6%
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
40.2%
(/.f64 (*.f64 th (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)))))))
24.3%
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
22.1%
(/.f64 (*.f64 ky (sin.f64 th)) (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))
22.1%
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
27.0%
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64))))
27.7%
(/.f64 (*.f64 ky (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))))
44.4%
(/.f64 (*.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 ky ky))))
26.6%
(/.f64 (*.f64 ky (sin.f64 th)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
22.3%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
19.8%
(/.f64 (*.f64 ky th) (sin.f64 kx))
73.9%
(/.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)))
43.8%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
23.2%
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
24.6%
(*.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))
15.8%
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
18.3%
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (sin.f64 th))
50.5%
(*.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)) (*.f64 ky ky)))) (sin.f64 th))
30.2%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
56.7%
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
74.0%
(*.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 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))
33.1%
(*.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))
33.1%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
33.4%
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
54.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
58.4%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
33.2%
(*.f64 (/.f64 (sin.f64 ky) (*.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 th))
40.3%
(*.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))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓74.0%
(*.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))
43.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
27.9%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
70.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
33.2%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
36.5%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
26.0%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
33.4%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
24.9%
(*.f64 (/.f64 ky kx) (sin.f64 th))
22.4%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
33.0%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
15.9%
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
48.7%
(*.f64 (*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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.f64 th))
27.7%
(*.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)))))))
27.9%
(*.f64 (*.f64 (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.f64 th))
73.8%
(*.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))))))))
5.6%
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
30.1%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
40.2%
(*.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))))))
24.7%
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
17.2%
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
19.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
27.7%
(*.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 1/2 binary64))))
16.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
10.2%
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
17.5%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
73.9%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (+.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 kx kx))))))) (sin.f64 th)))
12.0%
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
15.8%
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
15.2%
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
7.3%
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th)))))
14.5%
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
12.7%
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
22.4%
(*.f64 ky (/.f64 th (sin.f64 kx)))
15.4%
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
14.5%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
✓30.3%
(sin.f64 th)
16.2%
th
Compiler

Compiled 4 216 to 1 768 computations (58.1% saved)

regimes371.0ms (2.6%)

Memory
22.1MiB live, 653.8MiB allocated
Counts
129 → 1
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (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.f64 th))
(*.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 (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 ky 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 ky ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (*.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 th))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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)))))))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 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 (/.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))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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)))))))
(*.f64 ky (*.f64 (/.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (+.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 kx kx))))))) (sin.f64 th)))
(*.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))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 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) (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(/.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 ky ky)) #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 (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 (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 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (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 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (+.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 kx 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)) (*.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))))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (/.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)))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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.f64 th))
(*.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))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(*.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) (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.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))) (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 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

9 calls:

63.0ms
(sin.f64 th)
41.0ms
(sin.f64 kx)
40.0ms
th
39.0ms
kx
38.0ms
(sin.f64 ky)
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)

regimes374.0ms (2.6%)

Memory
-26.2MiB live, 653.7MiB allocated
Counts
118 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (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.f64 th))
(*.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 (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 ky 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 ky ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (*.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 th))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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)))))))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 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 (/.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))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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)))))))
(*.f64 ky (*.f64 (/.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (+.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 kx kx))))))) (sin.f64 th)))
(*.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))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 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) (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(/.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 ky ky)) #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 (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 (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 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (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 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (+.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 kx 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)) (*.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))))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (/.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)))) #s(literal 1/2 binary64) (*.f64 ky ky))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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

9 calls:

61.0ms
(/.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)))))
38.0ms
(sin.f64 kx)
38.0ms
(*.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))
36.0ms
(sin.f64 th)
35.0ms
th
Results
AccuracySegmentsBranch
99.4%2kx
99.4%2ky
87.7%2th
84.6%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))
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)))))
99.5%3(sin.f64 ky)
99.4%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.4%3(sin.f64 kx)
87.7%3(sin.f64 th)
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes85.0ms (0.6%)

Memory
14.8MiB live, 133.5MiB allocated
Counts
108 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (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.f64 th))
(*.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 (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 ky 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 ky ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (*.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 th))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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)))))))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 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 (/.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))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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)))))))
(*.f64 ky (*.f64 (/.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (+.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 kx kx))))))) (sin.f64 th)))
(*.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))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 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) (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(/.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 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.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 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
Calls

2 calls:

45.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
34.0ms
kx
Results
AccuracySegmentsBranch
99.4%2kx
99.4%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes274.0ms (1.9%)

Memory
-13.6MiB live, 549.2MiB allocated
Counts
107 → 5
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (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.f64 th))
(*.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 (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 ky 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 ky ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (*.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 th))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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)))))))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 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 (/.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))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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)))))))
(*.f64 ky (*.f64 (/.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (+.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 kx kx))))))) (sin.f64 th)))
(*.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))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (sin.f64 ky) (sin.f64 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) (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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)))))))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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)))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
Calls

8 calls:

37.0ms
(sin.f64 kx)
34.0ms
th
32.0ms
ky
32.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
31.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
80.4%4(sin.f64 th)
80.5%3th
88.0%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)))))
81.6%4(sin.f64 kx)
80.4%3(sin.f64 ky)
80.7%3ky
79.5%2kx
79.5%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 50 to 38 computations (24% saved)

regimes65.0ms (0.5%)

Memory
23.7MiB live, 62.0MiB allocated
Counts
100 → 6
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (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.f64 th))
(*.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 (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 ky 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 ky ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (*.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 th))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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)))))))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 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 (/.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))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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)))))))
(*.f64 ky (*.f64 (/.f64 (fma.f64 ky (*.f64 ky #s(literal -1/6 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (+.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 kx kx))))))) (sin.f64 th)))
(*.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))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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)))))))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
Calls

1 calls:

59.0ms
(/.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
88.0%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)

regimes35.0ms (0.2%)

Memory
-5.7MiB live, 74.2MiB allocated
Counts
97 → 6
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (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.f64 th))
(*.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 (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 ky 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 ky ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (*.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 th))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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)))))))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 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 (/.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))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (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))))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
Calls

1 calls:

29.0ms
(/.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
88.0%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)

regimes33.0ms (0.2%)

Memory
7.4MiB live, 83.7MiB allocated
Counts
96 → 6
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (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.f64 th))
(*.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 (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 ky 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 ky ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (*.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 th))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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)))))))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 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))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 th (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)))))))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 th (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 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
Calls

1 calls:

28.0ms
(/.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
87.9%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)

regimes231.0ms (1.6%)

Memory
-19.2MiB live, 453.5MiB allocated
Counts
89 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (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.f64 th))
(*.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 (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 ky 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 ky ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (*.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 th))
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
Calls

7 calls:

44.0ms
(/.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)))))
31.0ms
kx
28.0ms
th
27.0ms
ky
26.0ms
(*.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
79.0%3(sin.f64 ky)
58.9%2th
78.8%2ky
71.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
71.3%3kx
63.0%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))
78.9%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 59 to 43 computations (27.1% saved)

regimes161.0ms (1.1%)

Memory
38.5MiB live, 346.4MiB allocated
Counts
88 → 3
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (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.f64 th))
(*.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 (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 ky 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 ky ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (*.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 th))
Outputs
(sin.f64 th)
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
Calls

6 calls:

29.0ms
(sin.f64 th)
27.0ms
(sin.f64 kx)
26.0ms
ky
25.0ms
(sin.f64 ky)
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
71.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
72.0%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)))))
58.0%6(sin.f64 th)
68.8%4(sin.f64 ky)
71.5%4(sin.f64 kx)
68.6%3ky
Compiler

Compiled 42 to 32 computations (23.8% saved)

regimes109.0ms (0.8%)

Memory
-23.9MiB live, 96.1MiB allocated
Counts
84 → 3
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (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.f64 th))
(*.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 (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 ky 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 ky ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
Outputs
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
Calls

2 calls:

51.0ms
kx
50.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
71.3%3kx
71.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes78.0ms (0.6%)

Memory
21.8MiB live, 142.5MiB allocated
Counts
78 → 4
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (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 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
Calls

3 calls:

28.0ms
kx
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)))))
23.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
72.0%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)))))
61.9%3kx
61.9%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes54.0ms (0.4%)

Memory
-12.5MiB live, 106.7MiB allocated
Counts
75 → 4
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (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))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #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 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
Calls

2 calls:

26.0ms
(sin.f64 kx)
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
60.3%4(sin.f64 kx)
71.2%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 21 to 15 computations (28.6% saved)

regimes201.0ms (1.4%)

Memory
5.9MiB live, 279.0MiB allocated
Counts
71 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (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))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
Calls

6 calls:

59.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
52.0ms
kx
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))
22.0ms
(sin.f64 ky)
21.0ms
ky
Results
AccuracySegmentsBranch
54.2%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))
57.7%3kx
57.7%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
59.0%3(sin.f64 ky)
56.9%3ky
59.1%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 55 to 40 computations (27.3% saved)

regimes46.0ms (0.3%)

Memory
-17.9MiB live, 82.5MiB allocated
Counts
69 → 4
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) 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 ky ky)))))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.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 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 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (*.f64 (sin.f64 ky) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.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)))) (*.f64 ky ky)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) #s(literal 3 binary64)) (pow.f64 th #s(literal 3 binary64))) (fma.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))))
(/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sin.f64 ky)) (fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) (neg.f64 th))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
Outputs
(/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.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 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
Calls

2 calls:

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)))))
21.0ms
th
Results
AccuracySegmentsBranch
48.4%2th
61.9%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 20 to 14 computations (30% saved)

regimes20.0ms (0.1%)

Memory
10.4MiB live, 48.5MiB allocated
Counts
56 → 3
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(/.f64 (*.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 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (*.f64 kx (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 ky (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))))
Outputs
(/.f64 (*.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 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
Calls

1 calls:

17.0ms
(/.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
60.3%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)

regimes54.0ms (0.4%)

Memory
-7.5MiB live, 109.3MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (sin.f64 th) (*.f64 ky (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (*.f64 ky ky)))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(sin.f64 th)
Calls

3 calls:

19.0ms
(sin.f64 ky)
16.0ms
(sin.f64 kx)
16.0ms
(/.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
51.8%4(sin.f64 kx)
52.8%2(sin.f64 ky)
57.1%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 26 to 19 computations (26.9% saved)

regimes123.0ms (0.9%)

Memory
26.1MiB live, 253.7MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky th) (sin.f64 kx))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 (*.f64 (*.f64 (*.f64 kx kx) #s(literal 1/6 binary64)) (*.f64 ky (sin.f64 th))) kx)
(*.f64 (sin.f64 ky) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th) ky))
(*.f64 (*.f64 ky (sin.f64 th)) (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx))
(/.f64 (*.f64 ky (sin.f64 th)) (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky)) (sin.f64 kx))
(/.f64 (*.f64 (*.f64 ky (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64))) (sin.f64 th)) kx)
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky (sin.f64 th))) kx)
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (neg.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) kx) (*.f64 ky (*.f64 (sin.f64 th) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1 binary64)))))
(*.f64 ky (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (*.f64 ky ky)))
(/.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx))))
(/.f64 (*.f64 ky (sin.f64 th)) (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))
(/.f64 (*.f64 ky (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 kx kx) (*.f64 kx kx)) #s(literal 1/36 binary64) #s(literal -1 binary64)) (*.f64 ky (sin.f64 th))) (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal -1 binary64))) kx)
(*.f64 (fma.f64 ky (neg.f64 (*.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/6 binary64) kx) (/.f64 #s(literal 1/2 binary64) (*.f64 kx (*.f64 kx kx)))))) (/.f64 ky kx)) (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 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)))
(/.f64 (*.f64 (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
Outputs
(*.f64 (/.f64 ky kx) (sin.f64 th))
(sin.f64 th)
Calls

9 calls:

18.0ms
ky
14.0ms
(*.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))
14.0ms
(sin.f64 th)
13.0ms
th
13.0ms
(/.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
42.2%3th
44.3%4(sin.f64 kx)
45.5%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))
43.5%4(sin.f64 th)
46.2%2(sin.f64 ky)
46.3%2ky
44.1%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
44.2%3kx
48.3%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)

regimes14.0ms (0.1%)

Memory
-23.1MiB live, 17.0MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 ky (/.f64 th (sin.f64 kx)))
Outputs
(*.f64 ky (/.f64 th (sin.f64 kx)))
(sin.f64 th)
Calls

1 calls:

6.0ms
(/.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
46.8%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 16 to 11 computations (31.3% saved)

regimes46.0ms (0.3%)

Memory
13.1MiB live, 88.2MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
Outputs
(*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th))))
(sin.f64 th)
Calls

7 calls:

8.0ms
(sin.f64 kx)
8.0ms
(sin.f64 ky)
6.0ms
(/.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)))))
6.0ms
ky
6.0ms
(*.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
36.1%3(sin.f64 kx)
40.8%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))
35.8%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
35.6%2kx
37.2%2(sin.f64 ky)
37.4%2ky
40.8%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)

regimes23.0ms (0.2%)

Memory
24.4MiB live, 56.8MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(sin.f64 th)
Outputs
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(sin.f64 th)
Calls

3 calls:

11.0ms
th
6.0ms
(sin.f64 th)
6.0ms
(/.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
35.5%3(sin.f64 th)
34.3%2th
40.4%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 25 to 18 computations (28% saved)

regimes68.0ms (0.5%)

Memory
-29.5MiB live, 110.2MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 ky th)) kx)
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th 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 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))) kx)
(/.f64 (-.f64 (*.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))) (*.f64 th th)) (-.f64 (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) th))
(*.f64 th (fma.f64 ky (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64)) kx) (*.f64 (*.f64 (*.f64 ky (*.f64 th th)) (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/6 binary64) kx))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) th) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(*.f64 th (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
Outputs
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
th
Calls

9 calls:

23.0ms
(*.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))
6.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
6.0ms
th
5.0ms
(sin.f64 ky)
5.0ms
ky
Results
AccuracySegmentsBranch
20.2%2(sin.f64 th)
20.2%2th
24.3%4(sin.f64 kx)
24.4%3kx
24.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
24.6%2(sin.f64 ky)
24.4%2ky
27.0%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))
26.2%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 69 to 51 computations (26.1% saved)

regimes2.0ms (0%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
th
Calls

1 calls:

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))
Results
AccuracySegmentsBranch
27.0%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 19 to 13 computations (31.6% saved)

regimes16.0ms (0.1%)

Memory
-0.6MiB live, 38.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
th
(*.f64 th #s(literal 1 binary64))
Outputs
th
Calls

9 calls:

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
(/.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
(sin.f64 ky)
2.0ms
(sin.f64 kx)
2.0ms
(sin.f64 th)
Results
AccuracySegmentsBranch
16.2%1th
16.2%1(sin.f64 th)
16.2%1(sin.f64 kx)
16.2%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
16.2%1kx
16.2%1ky
16.2%1(sin.f64 ky)
16.2%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)))))
16.2%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))
Compiler

Compiled 69 to 51 computations (26.1% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.011251550254024e-14
2.6176846280517925e-12
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.6176846280517925e-12
4.145832418493869e-6
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.9959790034302041
0.9999720055290572
0.0ms
9.630142479238269e-12
5.029618929999139e-11
0.0ms
-0.002837797647898407
4.265112886152875e-307
0.0ms
-0.9999999999816287
-0.9996739801326181
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000121253074572
0.0ms
0.9090380448138026
0.9498256045436857
0.0ms
9.630142479238269e-12
5.029618929999139e-11
0.0ms
-0.002837797647898407
4.265112886152875e-307
0.0ms
-0.9999999999816287
-0.9996739801326181
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000121253074572
0.0ms
0.9090380448138026
0.9498256045436857
0.0ms
9.630142479238269e-12
5.029618929999139e-11
0.0ms
-0.002837797647898407
4.265112886152875e-307
0.0ms
-0.9999999999816287
-0.9996739801326181
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000121253074572
0.0ms
0.9090380448138026
0.9498256045436857
0.0ms
9.630142479238269e-12
5.029618929999139e-11
0.0ms
-0.002837797647898407
4.265112886152875e-307
0.0ms
-0.9999999999816287
-0.9996739801326181
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch31.0ms (0.2%)

Memory
-26.3MiB live, 53.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
5.54824022029638e-6
14.90503562273458
Samples
23.0ms144×0valid
Compiler

Compiled 427 to 279 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 13.0ms (69.3% of total)
ival-pow2: 3.0ms (16% of total)
ival-div: 1.0ms (5.3% of total)
ival-add: 1.0ms (5.3% of total)
ival-mult: 1.0ms (5.3% of total)
ival-sqrt: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.6176846280517925e-12
4.145832418493869e-6
0.0ms
3.036758528507e-311
2.010736978563723e-309
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.6176846280517925e-12
4.145832418493869e-6
0.0ms
3.036758528507e-311
2.010736978563723e-309
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
6.472701331254523e-8
7.00371477329475e-8
0.0ms
2.183234770171653e-206
3.612807787937248e-205
0.0ms
-0.7125595751549333
-0.6905162034125629
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
6.472701331254523e-8
7.00371477329475e-8
0.0ms
2.183234770171653e-206
3.612807787937248e-205
0.0ms
-0.002837797647898407
4.265112886152875e-307
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.09539017330981857
0.11888317059393784
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.1MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
6.472701331254523e-8
7.00371477329475e-8
0.0ms
2.183234770171653e-206
3.612807787937248e-205
0.0ms
-0.002837797647898407
4.265112886152875e-307
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
6.472701331254523e-8
7.00371477329475e-8
0.0ms
2.183234770171653e-206
3.612807787937248e-205
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.472701331254523e-8
7.00371477329475e-8
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
9.630142479238269e-12
5.029618929999139e-11
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.472701331254523e-8
7.00371477329475e-8
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.6173659756036166e-42
5.450055243121575e-41
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.3253873511012882e-63
2.1400761491599858e-61
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.9875675e-317
4.389175253127491e-306
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.9875675e-317
4.389175253127491e-306
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify22.0ms (0.2%)

Memory
8.0MiB live, 47.2MiB allocated
Algorithm
1×egg-herbie
Rules
64×*-commutative_binary64
12×+-commutative_binary64
8×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01631492
12021492
22091492
32131492
42151492
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 6338253001141147/158456325028528675187087900672 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (/.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 ky ky)) #s(literal -1/2 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 -2251349453722511/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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 -1152921504606847/576460752303423488 binary64)) (/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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))))))) (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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 2242792614430507/2251799813685248 binary64)) (/.f64 (*.f64 th (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))))))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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 -2251349453722511/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 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 -1152921504606847/576460752303423488 binary64)) (/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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))))))) (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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 8286623314361713/9007199254740992 binary64)) (/.f64 (*.f64 th (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))))))) (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)) (sin.f64 th) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 -2251349453722511/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 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 -1152921504606847/576460752303423488 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))))))) (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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 8286623314361713/9007199254740992 binary64)) (/.f64 (*.f64 th (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))))))) (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)) (sin.f64 th) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 -2251349453722511/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 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 -1152921504606847/576460752303423488 binary64)) (/.f64 (*.f64 th (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))))))) (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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 8286623314361713/9007199254740992 binary64)) (/.f64 (*.f64 th (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))))))) (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)) (sin.f64 th) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th)))))))
(if (<=.f64 ky #s(literal 4728779608739021/2251799813685248 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (sin.f64 th) (if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky))) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5060056332683/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (sin.f64 th) (if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.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 -3152519739159347/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 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 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.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 5289050460814003/75557863725914323419136 binary64)) (*.f64 ky (/.f64 (sin.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 -1152921504606847/576460752303423488 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 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 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (/.f64 (*.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 ky 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 5289050460814003/75557863725914323419136 binary64)) (*.f64 ky (/.f64 (sin.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 3602879701896397/36028797018963968 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (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 -1152921504606847/576460752303423488 binary64)) (/.f64 (*.f64 th (sin.f64 ky)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #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 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (/.f64 (*.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 ky 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 5289050460814003/75557863725914323419136 binary64)) (*.f64 ky (/.f64 (sin.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 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (/.f64 (*.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 ky 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 5289050460814003/75557863725914323419136 binary64)) (*.f64 ky (/.f64 (sin.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 5289050460814003/75557863725914323419136 binary64)) (*.f64 ky (/.f64 (sin.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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (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 5289050460814003/75557863725914323419136 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 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th)))) (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 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.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 20240225/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) 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 20240225/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) 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 6338253001141147/158456325028528675187087900672 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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 6338253001141147/158456325028528675187087900672 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (/.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 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 6189700196426901/1237940039285380274899124224 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) (/.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 ky ky)) #s(literal -1/2 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 -2251349453722511/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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 -1152921504606847/576460752303423488 binary64)) (/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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))))))) (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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 2242792614430507/2251799813685248 binary64)) (/.f64 (*.f64 th (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))))))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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 -2251349453722511/2251799813685248 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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 -1152921504606847/576460752303423488 binary64)) (/.f64 (*.f64 th (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) (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))))))) (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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (sin.f64 th) (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 2242792614430507/2251799813685248 binary64)) (/.f64 (*.f64 (sin.f64 ky) 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) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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 -2251349453722511/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 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 -1152921504606847/576460752303423488 binary64)) (/.f64 (*.f64 th (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (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))))))) (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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 8286623314361713/9007199254740992 binary64)) (/.f64 (*.f64 th (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))))))) (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)) (sin.f64 th) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 -2251349453722511/2251799813685248 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 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 -1152921504606847/576460752303423488 binary64)) (/.f64 (*.f64 th (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))) (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))))))) (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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (sin.f64 th) (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 8286623314361713/9007199254740992 binary64)) (/.f64 (*.f64 (sin.f64 ky) 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))))))) (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)) (sin.f64 th) (*.f64 (sin.f64 th) (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 -2251349453722511/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 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 -1152921504606847/576460752303423488 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))))))) (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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (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 8286623314361713/9007199254740992 binary64)) (/.f64 (*.f64 th (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))))))) (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)) (sin.f64 th) (*.f64 (/.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (hypot.f64 (*.f64 ky (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (sin.f64 th)))))))
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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 -1152921504606847/576460752303423488 binary64)) (/.f64 (*.f64 (sin.f64 ky) th) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #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 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (/.f64 (*.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 ky 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 5289050460814003/75557863725914323419136 binary64)) (*.f64 ky (/.f64 (sin.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 7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (/.f64 (*.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 ky 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 5289050460814003/75557863725914323419136 binary64)) (*.f64 ky (/.f64 (sin.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 5289050460814003/75557863725914323419136 binary64)) (*.f64 ky (/.f64 (sin.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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (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 6189700196426901/618970019642690137449562112 binary64)) (*.f64 (sin.f64 th) (/.f64 ky 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 5289050460814003/75557863725914323419136 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 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) (*.f64 #s(literal 1/6 binary64) (*.f64 kx (*.f64 ky (sin.f64 th)))) (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 7410693711188237/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.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 20240225/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) 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 20240225/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) 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 20240225/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) 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 20240225/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) th)
th

soundness1.7s (11.7%)

Memory
-10.8MiB live, 1 485.7MiB allocated
Rules
14 278×lower-fma.f64
14 278×lower-fma.f32
9 208×lower-fma.f64
9 208×lower-fma.f32
8 564×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044236
082232
1283230
01987223
097110877
1330110219
082459535
0116811963
1392511589
2738811589
0813210736
042232
081236
1305216
02456200
03172263
110112214
238602122
378042122
081071974
08918888
129658558
275418554
080488009
01349
02249
16249
233849
3290249
0828434
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node 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
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 3 020 to 1 227 computations (59.4% saved)

preprocess187.0ms (1.3%)

Memory
22.3MiB live, 373.2MiB allocated
Remove

(negabs ky)

(negabs th)

(abs kx)

Compiler

Compiled 3 112 to 406 computations (87% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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