Toniolo and Linder, Equation (3b), real

Time bar (total: 15.6s)

analyze280.0ms (1.8%)

Memory
-13.5MiB live, 259.5MiB 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)

sample2.2s (13.8%)

Memory
50.3MiB live, 2 355.3MiB allocated
Samples
1.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-sin: 777.0ms (54.7% of total)
ival-pow2: 238.0ms (16.7% of total)
ival-sqrt: 168.0ms (11.8% of total)
ival-add: 112.0ms (7.9% of total)
ival-mult: 65.0ms (4.6% of total)
ival-div: 52.0ms (3.7% of total)
ival-true: 6.0ms (0.4% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess77.0ms (0.5%)

Memory
-2.7MiB live, 74.5MiB allocated
Algorithm
1×egg-herbie
Rules
390×unsub-neg
362×times-frac
340×associate-*l*
334×associate-*r*
280×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

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

(abs kx)

(negabs th)

(negabs ky)

explain197.0ms (1.3%)

Memory
2.2MiB live, 482.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
90-0-(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-rescue90
↳(pow.f64 (sin.f64 kx) #s(literal 2 binary64))underflow40
↳(pow.f64 (sin.f64 ky) #s(literal 2 binary64))underflow54
↳(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))underflow9
Confusion
Predicted +Predicted -
+90
-0247
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+900
-00247
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0247
19
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
90.0ms512×0valid
Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-sin: 41.0ms (59.4% of total)
ival-pow2: 14.0ms (20.3% of total)
ival-div: 4.0ms (5.8% of total)
ival-mult: 4.0ms (5.8% of total)
ival-sqrt: 4.0ms (5.8% of total)
ival-add: 2.0ms (2.9% 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
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.2%
(*.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)

simplify8.0ms (0.1%)

Memory
-31.1MiB live, 12.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize54.0ms (0.3%)

Memory
21.3MiB live, 140.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓accuracy99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy96.5%
(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 (61.6% of total)
ival-pow2: 4.0ms (14.5% of total)
ival-div: 2.0ms (7.3% of total)
ival-mult: 2.0ms (7.3% of total)
ival-sqrt: 2.0ms (7.3% 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)

series59.0ms (0.4%)

Memory
-16.7MiB live, 63.0MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))>
#<alt (sin.f64 ky)>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
Outputs
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
Calls

30 calls:

TimeVariablePointExpression
34.0ms
ky
@0
(pow (sin ky) 2)
3.0ms
ky
@inf
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
3.0ms
ky
@inf
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
2.0ms
ky
@0
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
2.0ms
th
@inf
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))

rewrite285.0ms (1.8%)

Memory
27.2MiB live, 626.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 346×lower-fma.f64
4 346×lower-fma.f32
3 626×lower-*.f32
3 624×lower-*.f64
2 248×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

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

simplify423.0ms (2.7%)

Memory
-12.5MiB live, 869.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 278×lower-fma.f64
14 278×lower-fma.f32
6 260×lower-*.f64
6 260×lower-*.f32
5 352×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval89.0ms (0.6%)

Memory
-10.8MiB live, 113.0MiB allocated
Compiler

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

prune79.0ms (0.5%)

Memory
23.2MiB live, 222.9MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New42325448
Fresh000
Picked101
Done000
Total42425449
Accuracy
100.0%
Counts
449 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.8%
(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))
78.7%
(/.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)))
78.7%
(/.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)))))))
30.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
78.8%
(/.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)))
24.8%
(*.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))
78.8%
(*.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))
78.5%
(*.f64 (/.f64 (sin.f64 ky) (pow.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))) (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))
78.8%
(*.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))
71.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
73.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64))))) (sin.f64 th))
46.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
▶53.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
33.9%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
31.0%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
78.7%
(*.f64 (*.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))))))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
▶78.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
78.6%
(*.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))))))))
25.9%
(*.f64 (*.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)))) (sin.f64 th))
48.3%
(*.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))
56.3%
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
▶25.9%
(*.f64 ky (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
▶30.9%
(sin.f64 th)
Compiler

Compiled 1 066 to 758 computations (28.9% saved)

simplify277.0ms (1.8%)

Memory
-10.0MiB live, 392.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 ky ky)
✓cost-diff0
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
✓cost-diff64
(*.f64 ky (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
✓cost-diff6976
(fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓cost-diff192
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
✓cost-diff384
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
✓cost-diff0
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.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
7 356×lower-fma.f32
7 350×lower-fma.f64
3 972×lower-*.f32
3 952×lower-*.f64
1 436×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042345
081345
1129345
2258338
3716326
41972321
52922320
63622320
74220320
85177312
96237312
106744312
117398312
127614312
137874312
147994312
08002292
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
#s(literal 1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(sin.f64 ky)
(sin.f64 th)
th
(*.f64 ky (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
ky
(fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(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))
(sin.f64 th)
th
(sin.f64 kx)
kx
(/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th)))
(*.f64 #s(literal -1/2 binary64) (sin.f64 th))
#s(literal -1/2 binary64)
(pow.f64 (sin.f64 kx) #s(literal 3 binary64))
#s(literal 3 binary64)
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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))
#s(literal 1 binary64)
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(sin.f64 ky)
(sin.f64 th)
th
(*.f64 ky (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(*.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 (*.f64 ky ky) #s(literal -1/6 binary64)) ky) (sin.f64 kx))))
ky
(fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (*.f64 (sin.f64 th) (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))) (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))
(sin.f64 th)
th
(sin.f64 kx)
kx
(/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(/.f64 (*.f64 ky (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th)))
(*.f64 ky (*.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)
(pow.f64 (sin.f64 kx) #s(literal 3 binary64))
#s(literal 3 binary64)

localize358.0ms (2.3%)

Memory
21.5MiB live, 606.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy98.7%
(*.f64 ky (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
✓accuracy97.1%
(fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
✓accuracy92.6%
(*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th)))
✓accuracy87.8%
(/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
✓accuracy99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
✓accuracy96.5%
(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)))))))
✓accuracy76.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓accuracy69.5%
(-.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))
✓accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy76.6%
(sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓accuracy100.0%
(sin.f64 th)
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.8%
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Samples
148.0ms76×2valid
87.0ms102×1valid
35.0ms68×0valid
16.0ms10×3valid
Compiler

Compiled 347 to 47 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 242.0ms
ival-cos: 73.0ms (30.2% of total)
ival-mult: 35.0ms (14.5% of total)
ival-sub: 28.0ms (11.6% of total)
ival-sin: 28.0ms (11.6% of total)
adjust: 17.0ms (7% of total)
ival-add: 16.0ms (6.6% of total)
ival-div: 14.0ms (5.8% of total)
ival-sqrt: 7.0ms (2.9% of total)
ival-hypot: 7.0ms (2.9% of total)
const: 6.0ms (2.5% of total)
ival-pow: 6.0ms (2.5% of total)
ival-pow2: 4.0ms (1.7% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series92.0ms (0.6%)

Memory
-25.3MiB live, 175.3MiB allocated
Counts
24 → 552
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 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))>
#<alt (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))>
#<alt (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))>
#<alt (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))>
#<alt (*.f64 ky (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))>
#<alt (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))>
#<alt (*.f64 ky ky)>
#<alt (sin.f64 kx)>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))>
#<alt (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th)))>
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)))))>
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#<alt (/ (* (sin ky) (sin th)) kx)>
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#<alt (* -1 (/ (* (sin ky) (sin th)) kx))>
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#<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))))))))))))>
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))>
#<alt (/ ky kx)>
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#<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)))>
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#<alt 1>
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#<alt (/ (sin ky) kx)>
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#<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))))>
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#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
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#<alt (pow ky 2)>
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
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#<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)))))))))>
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#<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)))))))))>
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#<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 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))))))>
#<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))) (* (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))))))>
#<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))) (* (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))))))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow kx 3)))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))>
#<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))))) (/ (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 (* (pow ky 3) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx)))))>
#<alt (* (pow ky 3) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))>
#<alt (* (pow ky 3) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))>
#<alt (* (pow ky 3) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))>
#<alt (* (pow ky 3) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx)))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (* ky (* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx))))))>
#<alt (* 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)))))))>
#<alt (* 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)))))))))>
#<alt (* 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)))))))))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* -1/2 (/ (* (pow ky 3) (sin th)) (pow kx 3)))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -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))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<alt (* ky (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx))))>
#<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 ky 2)>
#<alt (pow ky 2)>
#<alt (pow ky 2)>
#<alt (pow ky 2)>
#<alt (pow ky 2)>
#<alt (pow ky 2)>
#<alt (pow ky 2)>
#<alt (pow ky 2)>
#<alt (pow ky 2)>
#<alt (pow ky 2)>
#<alt (pow ky 2)>
#<alt (pow ky 2)>
#<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 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 (* 2 (pow kx 2))>
#<alt (* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))>
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (* 2 kx)))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (- 1 (cos (neg (* -2 kx))))>
#<alt (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))>
#<alt (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))>
#<alt (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))>
#<alt (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))>
#<alt (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
#<alt (+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))>
#<alt (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))>
#<alt (* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))>
#<alt (* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) th) (pow (sin kx) 3)))>
#<alt (* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/12 (/ (* (pow ky 2) (pow th 2)) (pow (sin kx) 3)))))>
#<alt (* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* -1/240 (/ (* (pow ky 2) (pow th 2)) (pow (sin kx) 3))) (* 1/12 (/ (pow ky 2) (pow (sin kx) 3)))))))>
#<alt (* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* 1/12 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* -1/240 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/10080 (/ (* (pow ky 2) (pow th 2)) (pow (sin kx) 3)))))))))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow kx 3)))>
#<alt (/ (+ (* -1/2 (* (pow ky 2) (sin th))) (* -1/4 (* (pow kx 2) (* (pow ky 2) (sin th))))) (pow kx 3))>
#<alt (/ (+ (* -1/2 (* (pow ky 2) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow ky 2) (sin th))) (* 1/2 (* (pow kx 2) (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th))))))))) (pow kx 3))>
#<alt (/ (+ (* -1/2 (* (pow ky 2) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow ky 2) (sin th))) (* (pow kx 2) (+ (* 1/2 (* (pow kx 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))))))))) (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th)))))))))) (pow kx 3))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) th))>
#<alt (* th (+ (* -1/2 (pow ky 2)) (* 1/12 (* (pow ky 2) (pow th 2)))))>
#<alt (* th (+ (* -1/2 (pow ky 2)) (* (pow th 2) (+ (* -1/240 (* (pow ky 2) (pow th 2))) (* 1/12 (pow ky 2))))))>
#<alt (* th (+ (* -1/2 (pow ky 2)) (* (pow th 2) (+ (* 1/12 (pow ky 2)) (* (pow th 2) (+ (* -1/240 (pow ky 2)) (* 1/10080 (* (pow ky 2) (pow th 2)))))))))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
#<alt (* -1/2 (* (pow ky 2) (sin th)))>
Calls

138 calls:

TimeVariablePointExpression
6.0ms
ky
@0
(/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))
6.0ms
ky
@inf
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
3.0ms
ky
@0
(* (* (sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))) (sin ky)) (sin th))
3.0ms
ky
@0
(+ (* (+ (* (* ky ky) -1/6) 1) (/ (sin th) (sin kx))) (/ (* (* ky ky) (* -1/2 (sin th))) (pow (sin kx) 3)))
2.0ms
th
@0
(* ky (+ (* (+ (* (* ky ky) -1/6) 1) (/ (sin th) (sin kx))) (/ (* (* ky ky) (* -1/2 (sin th))) (pow (sin kx) 3))))

rewrite138.0ms (0.9%)

Memory
24.0MiB live, 251.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 310×lower-*.f32
1 290×lower-*.f64
1 208×lower-fma.f32
1 202×lower-fma.f64
1 016×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042274
081278
1303245
02500229
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
24 → 427
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 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(*.f64 ky (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 ky ky)
(sin.f64 kx)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th)))
Outputs
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 ky)))
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(/.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 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (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 #s(literal 1 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 #s(literal 1 binary64) (/.f64 (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)))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (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 #s(literal -1 binary64)) (sqrt.f64 (neg.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))))))
(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))
(pow.f64 (/.f64 #s(literal 1 binary64) (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))
(pow.f64 (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)))) #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 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 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 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 (pow.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (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 (sin.f64 ky) (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 (*.f64 (sin.f64 ky) #s(literal 1 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 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (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 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (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 (/.f64 #s(literal 1 binary64) (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))))) (sin.f64 ky))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky))) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(neg.f64 (/.f64 (*.f64 (neg.f64 ky) (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky))))))
(/.f64 (*.f64 (neg.f64 ky) (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky))) #s(literal 1 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 ky) (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64))))) (neg.f64 (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky))) (sin.f64 kx)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky))) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (sin.f64 kx))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky))) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)))
(pow.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)))) #s(literal -1 binary64))
(*.f64 ky (*.f64 ky (*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))))
(*.f64 ky (*.f64 (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 kx) #s(literal -3 binary64))))
(*.f64 ky (/.f64 (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 ky ky) (*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))))
(*.f64 (*.f64 ky ky) (*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64))))
(*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (*.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -3 binary64))))
(*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky))) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))
(*.f64 (*.f64 (neg.f64 ky) (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (*.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal -3 binary64))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(*.f64 (*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64))) (*.f64 ky ky))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64))) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 ky (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64))) (sin.f64 kx)))
(*.f64 (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))) (/.f64 (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky ky) (sin.f64 kx)))
(*.f64 (/.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (sin.f64 kx)))
(*.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (sin.f64 kx)) (/.f64 (*.f64 ky ky) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)) (/.f64 (sin.f64 th) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64))))
(*.f64 ky (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64))))
(*.f64 (sin.f64 th) (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (*.f64 ky ky)))
(*.f64 (*.f64 ky ky) (*.f64 (sin.f64 th) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (*.f64 ky ky))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (sin.f64 th))
(*.f64 (*.f64 ky (*.f64 (sin.f64 th) #s(literal -1/2 binary64))) ky)
(*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) #s(literal -1/2 binary64))

simplify564.0ms (3.6%)

Memory
-12.7MiB live, 870.9MiB allocated
Algorithm
1×egg-herbie
Rules
9 534×lower-fma.f64
9 534×lower-fma.f32
6 656×lower-*.f64
6 656×lower-*.f32
5 752×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116413507
1392313167
2736113167
0804812232
Stop Event
1×iter limit
1×node limit
Counts
552 → 547
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))))))
(/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(/ 2 (- 1 (cos (* 2 kx))))
(+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(/ (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
(+ 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 ky 2)
(pow ky 2)
(pow ky 2)
(pow ky 2)
(pow ky 2)
(pow ky 2)
(pow ky 2)
(pow ky 2)
(pow ky 2)
(pow ky 2)
(pow ky 2)
(pow ky 2)
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 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 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* -1/2 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 1/2 (* (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))
(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))
(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) th) (pow (sin kx) 3)))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/12 (/ (* (pow ky 2) (pow th 2)) (pow (sin kx) 3)))))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* -1/240 (/ (* (pow ky 2) (pow th 2)) (pow (sin kx) 3))) (* 1/12 (/ (pow ky 2) (pow (sin kx) 3)))))))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* 1/12 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* -1/240 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/10080 (/ (* (pow ky 2) (pow th 2)) (pow (sin kx) 3)))))))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow kx 3)))
(/ (+ (* -1/2 (* (pow ky 2) (sin th))) (* -1/4 (* (pow kx 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))) (* 1/2 (* (pow kx 2) (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (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))) (* (pow kx 2) (+ (* 1/2 (* (pow kx 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))))))))) (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th)))))))))) (pow kx 3))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) th))
(* th (+ (* -1/2 (pow ky 2)) (* 1/12 (* (pow ky 2) (pow th 2)))))
(* th (+ (* -1/2 (pow ky 2)) (* (pow th 2) (+ (* -1/240 (* (pow ky 2) (pow th 2))) (* 1/12 (pow ky 2))))))
(* th (+ (* -1/2 (pow ky 2)) (* (pow th 2) (+ (* 1/12 (pow ky 2)) (* (pow th 2) (+ (* -1/240 (pow ky 2)) (* 1/10080 (* (pow ky 2) (pow th 2)))))))))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
(* -1/2 (* (pow ky 2) (sin th)))
Outputs
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 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 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))) (fma.f64 (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.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))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal -1/6 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)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(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) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)))) (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)))
(* 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 (*.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 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) (+.f64 (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (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 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 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 (*.f64 kx 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 #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 (*.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 (*.f64 kx 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 (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (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))))))))
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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 (*.f64 #s(literal 1/2 binary64) (+.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))))
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(pow kx 2)
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(* (pow kx 2) (+ 1 (/ (pow (sin ky) 2) (pow kx 2))))
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(pow kx 2)
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(+ (pow kx 2) (pow ky 2))
(fma.f64 ky ky (*.f64 kx kx))
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(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))
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(+ (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)))
(/ (* ky (sin th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (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))))))))))))) (/ (sin th) kx)))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) kx))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx))) (/.f64 (sin.f64 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)))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx (sin.f64 th)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 kx kx)) (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64)))))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 kx (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) kx)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) kx))) (/.f64 (sin.f64 th) kx)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (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)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* (* (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)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 3/8 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 4))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 kx kx) (/.f64 (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 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 kx kx) (/.f64 (sin.f64 th) (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)
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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 (/ (* (pow (sin ky) 3) (sin th)) (pow kx 2))) (* (sin ky) (sin th)))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (sin.f64 th) (*.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 (/ (* (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)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 kx #s(literal 6 binary64)))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (sin.f64 th) (*.f64 kx kx)))) (*.f64 (sin.f64 th) (sin.f64 ky)))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(neg.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) 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))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64))) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (/.f64 (sin.f64 th) (*.f64 kx kx)))) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 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))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(*.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))))))
(* 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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(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)) (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 2/45 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 4 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (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 (/.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 -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 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (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 (/.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 -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 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 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 #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 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 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 #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))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.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 th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))
(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)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))
(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)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx)))
(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)))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx)))))
(*.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))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(*.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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky))))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(*.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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky))))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(*.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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky))))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx)))))
(*.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))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(*.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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky))))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(*.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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky))))))
(* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (/ (sin th) (* (pow ky 2) (sin kx))))))
(*.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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (sin.f64 th) (*.f64 (sin.f64 kx) (*.f64 ky ky))))))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (+ (* -1/6 (/ (pow ky 2) (sin kx))) (/ 1 (sin kx)))))
(*.f64 th (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 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))))))
(*.f64 th (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 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))))))
(*.f64 th (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1/120 binary64)) (sin.f64 kx))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.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 (+ (* -1/2 (/ (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))))))
(*.f64 th (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (*.f64 #s(literal 1/10080 binary64) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) #s(literal 1/120 binary64)) (sin.f64 kx)))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.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))))))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(fma.f64 (sin.f64 th) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 kx)) (*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
(fma.f64 (sin.f64 th) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 kx)) (*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (* (sin th) (+ 1 (* -1/6 (pow ky 2)))) (sin kx)))
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(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
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(+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
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(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
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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)))))))))
(*.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))))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) th) (pow (sin kx) 3)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 th (*.f64 ky ky))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/12 (/ (* (pow ky 2) (pow th 2)) (pow (sin kx) 3)))))
(*.f64 th (fma.f64 (/.f64 (*.f64 (*.f64 ky ky) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 th th) (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* -1/240 (/ (* (pow ky 2) (pow th 2)) (pow (sin kx) 3))) (* 1/12 (/ (pow ky 2) (pow (sin kx) 3)))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 ky ky) (*.f64 th th)) (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(* th (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* 1/12 (/ (pow ky 2) (pow (sin kx) 3))) (* (pow th 2) (+ (* -1/240 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/10080 (/ (* (pow ky 2) (pow th 2)) (pow (sin kx) 3)))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (/.f64 (*.f64 #s(literal 1/10080 binary64) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 th th) (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/240 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 ky ky) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow kx 3)))
(/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
(/ (+ (* -1/2 (* (pow ky 2) (sin th))) (* -1/4 (* (pow kx 2) (* (pow ky 2) (sin th))))) (pow kx 3))
(/.f64 (*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (fma.f64 #s(literal -1/4 binary64) (*.f64 kx kx) #s(literal -1/2 binary64))) (*.f64 kx (*.f64 kx kx)))
(/ (+ (* -1/2 (* (pow ky 2) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow ky 2) (sin th))) (* 1/2 (* (pow kx 2) (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th))))))))) (pow kx 3))
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) #s(literal -17/120 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 ky ky)) (sin.f64 th))) (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(/ (+ (* -1/2 (* (pow ky 2) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow ky 2) (sin th))) (* (pow kx 2) (+ (* 1/2 (* (pow kx 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))))))))) (* 1/2 (+ (* -1/4 (* (pow ky 2) (sin th))) (* 13/120 (* (pow ky 2) (sin th)))))))))) (pow kx 3))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 th) (*.f64 ky ky)) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) #s(literal 307/7560 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) #s(literal -17/120 binary64)))) (*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) #s(literal -17/120 binary64)))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 ky ky)) (sin.f64 th))))) (*.f64 kx (*.f64 kx kx)))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3)))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky ky)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) th))
(*.f64 #s(literal -1/2 binary64) (*.f64 th (*.f64 ky ky)))
(* th (+ (* -1/2 (pow ky 2)) (* 1/12 (* (pow ky 2) (pow th 2)))))
(*.f64 th (fma.f64 (*.f64 ky ky) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 ky ky) #s(literal 1/12 binary64)) (*.f64 th th))))
(* th (+ (* -1/2 (pow ky 2)) (* (pow th 2) (+ (* -1/240 (* (pow ky 2) (pow th 2))) (* 1/12 (pow ky 2))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 ky ky) #s(literal 1/12 binary64) (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/240 binary64)) (*.f64 th th))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))))
(* th (+ (* -1/2 (pow ky 2)) (* (pow th 2) (+ (* 1/12 (pow ky 2)) (* (pow th 2) (+ (* -1/240 (pow ky 2)) (* 1/10080 (* (pow ky 2) (pow th 2)))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 ky ky) #s(literal -1/240 binary64) (*.f64 (*.f64 #s(literal 1/10080 binary64) (*.f64 ky ky)) (*.f64 th th))) (*.f64 (*.f64 ky ky) #s(literal 1/12 binary64))) (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64))))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))
(* -1/2 (* (pow ky 2) (sin th)))
(*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th))

eval157.0ms (1%)

Memory
37.6MiB live, 344.1MiB allocated
Compiler

Compiled 32 503 to 3 000 computations (90.8% saved)

prune179.0ms (1.1%)

Memory
-28.4MiB live, 373.6MiB allocated
Pruning

52 alts after pruning (50 fresh and 2 done)

PrunedKeptTotal
New1 096381 134
Fresh81220
Picked325
Done000
Total1 107521 159
Accuracy
100.0%
Counts
1 159 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.6%
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
78.7%
(/.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)))
22.7%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 ky ky) (*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) #s(literal 2 binary64))) ky) (-.f64 (*.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 ky) (*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64))))))
10.3%
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
78.7%
(/.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)))))))
30.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
21.6%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
▶78.8%
(/.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)))
46.6%
(/.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)))
46.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))
16.6%
(*.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))
76.7%
(*.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))
48.4%
(*.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))
78.8%
(*.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))
78.5%
(*.f64 (/.f64 (sin.f64 ky) (pow.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))) (sin.f64 th))
51.7%
(*.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))))
✓99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
57.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
▶12.4%
(*.f64 (/.f64 (sin.f64 ky) (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))))) (sin.f64 th))
78.8%
(*.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))
27.5%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
46.6%
(*.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))
73.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64))))) (sin.f64 th))
33.9%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
23.3%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
31.0%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
22.1%
(*.f64 (/.f64 ky kx) (sin.f64 th))
46.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
78.7%
(*.f64 (*.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))))))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
27.5%
(*.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)))))))
32.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
78.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
40.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
35.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th))
▶36.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th))
46.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.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))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
36.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
34.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
33.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
▶27.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
32.9%
(*.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)))))
78.6%
(*.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))))))))
28.9%
(*.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))))))
40.6%
(*.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))))))
16.5%
(*.f64 (*.f64 ky th) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
46.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
12.4%
(*.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))))))
19.5%
(*.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)))
▶19.6%
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
10.5%
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
31.0%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
✓30.9%
(sin.f64 th)
Compiler

Compiled 2 283 to 1 531 computations (32.9% saved)

simplify433.0ms (2.8%)

Memory
37.6MiB live, 624.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(/.f64 (sin.f64 ky) (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)))))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (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))))) (sin.f64 th))
✓cost-diff7360
(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)))
✓cost-diff0
(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 ky ky))))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th))
✓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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
✓cost-diff0
(*.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))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
✓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
(sin.f64 th)
✓cost-diff128
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓cost-diff384
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
✓cost-diff384
(/.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)))
Rules
24 952×lower-fma.f32
24 942×lower-fma.f64
2 700×lower-*.f32
2 678×lower-*.f64
2 524×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046416
087420
1139420
2226419
3378366
4544366
51142366
64765366
08104356
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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)))
(sin.f64 th)
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))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
#s(literal 1 binary64)
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(sin.f64 ky)
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (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))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (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))))
(cos.f64 (*.f64 kx #s(literal -2 binary64)))
(*.f64 kx #s(literal -2 binary64))
kx
#s(literal -2 binary64)
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
ky
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sin.f64 th)
th
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))
#s(literal 1 binary64)
(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)))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(*.f64 ky ky)
ky
(sin.f64 ky)
(sin.f64 th)
th
(*.f64 (/.f64 (sin.f64 ky) (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))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (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)))))
(sin.f64 ky)
ky
(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))))
(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 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal 1 binary64)
(cos.f64 (+.f64 ky ky))
(+.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)
(sin.f64 th)
th
Outputs
(/.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 (*.f64 (sin.f64 th) (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 th)
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 (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))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
#s(literal 1 binary64)
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal -1/2 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
(sin.f64 ky)
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (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 ky (sqrt.f64 #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 ky (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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (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))))
(cos.f64 (*.f64 kx #s(literal -2 binary64)))
(*.f64 kx #s(literal -2 binary64))
kx
#s(literal -2 binary64)
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
ky
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sin.f64 th)
th
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (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) (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) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) (fma.f64 ky ky #s(literal 1/2 binary64))))
#s(literal 1 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)))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal 1/2 binary64)
(*.f64 ky ky)
ky
(sin.f64 ky)
(sin.f64 th)
th
(*.f64 (/.f64 (sin.f64 ky) (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))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))
(/.f64 (sin.f64 ky) (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 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))
(sin.f64 ky)
ky
(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))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))
(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 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal 1 binary64)
(cos.f64 (+.f64 ky ky))
(+.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))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 th)
th

localize729.0ms (4.7%)

Memory
-160.5MiB live, 728.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.3%
(/.f64 (sin.f64 ky) (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)))))
✓accuracy79.4%
(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))))
✓accuracy76.0%
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓accuracy76.0%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
✓accuracy99.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky))
✓accuracy99.1%
(/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))
✓accuracy71.4%
(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 ky ky))))
✓accuracy69.5%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy99.3%
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
✓accuracy96.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
✓accuracy83.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
✓accuracy69.5%
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
✓accuracy100.0%
(*.f64 th th)
✓accuracy99.9%
(*.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%
(/.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)))
✓accuracy96.5%
(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))))))
✓accuracy76.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓accuracy69.5%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
Samples
299.0ms20×3valid
169.0ms96×2valid
59.0ms68×1valid
48.0ms68×0valid
10.0ms4×4valid
Compiler

Compiled 418 to 52 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 524.0ms
ival-cos: 324.0ms (61.8% of total)
ival-mult: 66.0ms (12.6% of total)
adjust: 43.0ms (8.2% of total)
ival-add: 25.0ms (4.8% of total)
ival-div: 22.0ms (4.2% of total)
ival-sqrt: 16.0ms (3.1% of total)
ival-sin: 11.0ms (2.1% of total)
ival-sub: 8.0ms (1.5% of total)
const: 5.0ms (1% of total)
exact: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series72.0ms (0.5%)

Memory
40.4MiB live, 156.3MiB allocated
Counts
27 → 492
Calls
Call 1
Inputs
#<alt (/.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)))>
#<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 (sin.f64 th)>
#<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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))>
#<alt (*.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))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))>
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))>
#<alt (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))>
#<alt (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)))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (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))))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (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)))))>
#<alt (sin.f64 ky)>
#<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 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))>
#<alt (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (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 ky ky)))>
#<alt (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (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))))>
Outputs
#<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) (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 (+ 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 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 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) (* (sqrt 1/2) (sqrt 2)))) kx)>
#<alt (/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2))))) kx)>
#<alt (/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))) kx)>
#<alt (/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (* (sqrt 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))))) kx)>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* th (+ (* -1/6 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))>
#<alt (* th (+ (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))>
#<alt (* th (+ (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (/ (* ky (* (sqrt 1/2) (sqrt 2))) kx)>
#<alt (/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (sqrt 2))) (sqrt 1/2))) (* ky (* (sqrt 1/2) (sqrt 2)))) kx)>
#<alt (/ (+ (* ky (* (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sqrt 2)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx)>
#<alt (/ (+ (* ky (* (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sqrt 2)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sqrt 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx)>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (/ (sqrt 1/2) kx)>
#<alt (/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)>
#<alt (/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)>
#<alt (/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (/ 1/2 (pow kx 2))>
#<alt (/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))>
#<alt (/ (+ 1/2 (* (pow kx 2) (+ 1/6 (* 1/30 (pow kx 2))))) (pow kx 2))>
#<alt (/ (+ 1/2 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 1/30 (* 1/189 (pow kx 2))))))) (pow kx 2))>
#<alt (/ 1 (- 1 (cos (* -2 kx))))>
#<alt (/ 1 (- 1 (cos (* -2 kx))))>
#<alt (/ 1 (- 1 (cos (* -2 kx))))>
#<alt (/ 1 (- 1 (cos (* -2 kx))))>
#<alt (/ 1 (- 1 (cos (* -2 kx))))>
#<alt (/ 1 (- 1 (cos (* -2 kx))))>
#<alt (/ 1 (- 1 (cos (* -2 kx))))>
#<alt (/ 1 (- 1 (cos (* -2 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 (/ (* (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) (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)))))>
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (/ (sin ky) ky)>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))>
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#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))>
#<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 (* (/ (- (* 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 (* (/ (- (* 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 (/ (- (* 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 (* (/ (- (* 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) ky)>
#<alt (/ (+ (sin ky) (* -1/4 (/ (* (sin ky) (- 1 (cos (* 2 kx)))) (pow ky 2)))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2)))) (pow ky 4))) (* -1/4 (/ (* (sin ky) (- 1 (cos (* 2 kx)))) (pow ky 2))))) ky)>
#<alt (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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) (- 1 (cos (* 2 kx)))) (pow ky 2)))))) ky)>
#<alt (* -1 (/ (sin ky) ky))>
#<alt (* -1 (/ (+ (sin ky) (* -1/4 (/ (* (sin ky) (- 1 (cos (* 2 kx)))) (pow ky 2)))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2)))) (pow ky 4))) (* -1/4 (/ (* (sin ky) (- 1 (cos (* 2 kx)))) (pow ky 2))))) ky))>
#<alt (* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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) (- 1 (cos (* 2 kx)))) (pow ky 2)))))) ky))>
#<alt (/ 1 ky)>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow ky 3))) (/ 1 ky))>
#<alt (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* ky (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))) (* 1/2 (/ 1 (pow ky 3))))) (/ 1 ky))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))) (* 1/2 (* ky (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))) (* 1/2 (/ 1 (pow ky 3))))) (/ 1 ky))>
#<alt (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))>
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#<alt (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))>
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#<alt (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))))>
#<alt (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))>
#<alt (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (- (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))>
#<alt (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (* 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)))))) (* 1/2 (* (/ (- (* 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 (/ 1 ky)>
#<alt (/ (+ 1 (* -1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) ky)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (pow ky 4))) (* -1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))) ky)>
#<alt (/ (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (pow ky 4))) (+ (* -1/2 (/ (+ (* 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 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))) ky)>
#<alt (/ -1 ky)>
#<alt (* -1 (/ (+ 1 (* -1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) ky))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (pow ky 4))) (* -1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))) ky))>
#<alt (* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (pow ky 4))) (+ (* -1/2 (/ (+ (* 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 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))) ky))>
#<alt (* 2 (pow ky 2))>
#<alt (* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))>
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#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
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#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (* (sin th) (sqrt 1/2))>
#<alt (+ (* (sin th) (sqrt 1/2)) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt 1/2))) (* 1/12 (/ (sin th) (sqrt 1/2))))))>
#<alt (+ (* (sin th) (sqrt 1/2)) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt 1/2))) (+ (* 1/12 (/ (sin th) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/72 (/ (sin th) (sqrt 1/2))) (+ (* 1/120 (* (sin th) (sqrt 1/2))) (* 1/2 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))))))))))>
#<alt (+ (* (sin th) (sqrt 1/2)) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt 1/2))) (+ (* 1/12 (/ (sin th) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/72 (/ (sin th) (sqrt 1/2))) (+ (* 1/120 (* (sin th) (sqrt 1/2))) (+ (* 1/2 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/12 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (+ (* -1/5040 (* (sin th) (sqrt 1/2))) (+ (* 1/1440 (/ (sin th) (sqrt 1/2))) (* 1/2 (/ (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))))))))))))))>
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (sqrt 1/2)>
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#<alt (+ (sqrt 1/2) (* (pow ky 2) (+ (* -1/6 (sqrt 1/2)) (+ (* 1/12 (/ 1 (sqrt 1/2))) (* (pow ky 2) (- (+ (* 1/120 (sqrt 1/2)) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (* 1/72 (/ 1 (sqrt 1/2)))))))))>
#<alt (+ (sqrt 1/2) (* (pow ky 2) (+ (* -1/6 (sqrt 1/2)) (+ (* 1/12 (/ 1 (sqrt 1/2))) (* (pow ky 2) (- (+ (* 1/120 (sqrt 1/2)) (+ (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (+ (* -1/5040 (sqrt 1/2)) (+ (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/2 (/ (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (sqrt 1/2))))))))) (* 1/72 (/ 1 (sqrt 1/2)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 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 (* 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 (* 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 (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (/ 1 (pow ky 2))>
#<alt (+ (* -1 (/ (pow kx 2) (pow ky 4))) (/ 1 (pow ky 2)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow ky 4))) (/ 1 (pow ky 6)))) (/ 1 (pow ky 4)))) (/ 1 (pow ky 2)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))) (+ (* 1/3 (/ 1 (pow ky 4))) (/ 1 (pow ky 6))))) (/ 1 (pow ky 4)))) (/ 1 (pow ky 2)))>
#<alt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))>
#<alt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<alt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<alt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<alt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))>
#<alt (/ 2 (- 1 (cos (* 2 kx))))>
#<alt (+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* (pow ky 2) (- (* 8 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 3))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -16 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 4))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (/ 1 (pow ky 2))>
#<alt (/ (+ 1 (* -1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))>
#<alt (/ (- (+ 1 (* 1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4)))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))>
#<alt (/ (- (+ 1 (* -1/8 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6)))) (+ (* -1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))) (pow ky 2))>
#<alt (/ 1 (pow ky 2))>
#<alt (/ (+ 1 (* -1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))>
#<alt (/ (- (+ 1 (* 1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4)))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))>
#<alt (/ (- (+ 1 (* -1/8 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6)))) (+ (* -1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))) (pow ky 2))>
#<alt (* 2 (pow ky 2))>
#<alt (* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))>
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (+ 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 (sqrt 2))>
#<alt (* ky (+ (sqrt 2) (* -1/3 (/ (pow ky 2) (sqrt 2)))))>
#<alt (* ky (+ (sqrt 2) (* (pow ky 2) (- (* 1/2 (/ (* (pow ky 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2)))))))>
#<alt (* ky (+ (sqrt 2) (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
Calls

123 calls:

TimeVariablePointExpression
17.0ms
th
@inf
(* (* (sqrt (/ 1 (- 1 (cos (* kx -2))))) (* ky (sqrt 2))) (sin th))
3.0ms
ky
@inf
(* (* (sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (* ky ky)))) (sin ky)) (sin th))
2.0ms
ky
@0
(* (* (sqrt (/ 1 (- 1 (cos (* kx -2))))) (* ky (sqrt 2))) (sin th))
2.0ms
ky
@0
(* (* (sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (* ky ky)))) (sin ky)) (sin th))
2.0ms
ky
@-inf
(/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ (* (cos (+ ky ky)) -1/2) 1/2))))

rewrite138.0ms (0.9%)

Memory
-26.8MiB live, 172.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
894×lower-*.f32
872×lower-*.f64
818×lower-fma.f32
810×lower-fma.f64
732×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046309
087305
1320295
02283295
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
27 → 388
Calls
Call 1
Inputs
(/.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)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 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))))
(sin.f64 th)
(*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (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))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky))))
(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 (/.f64 (sin.f64 ky) (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))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (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)))))
(sin.f64 ky)
(-.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 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (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 ky ky)))
(fma.f64 (cos.f64 (+.f64 ky ky)) #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))))
Outputs
(neg.f64 (/.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 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.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 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sin.f64 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) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 th) (sin.f64 ky)))))
(/.f64 (neg.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 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(/.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.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 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) #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 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (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 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1 binary64))
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(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
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(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #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 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))

simplify452.0ms (2.9%)

Memory
12.3MiB live, 605.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 016×lower-fma.f64
8 016×lower-fma.f32
6 730×lower-*.f64
6 730×lower-*.f32
6 074×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100711467
1323610828
2785610828
0822810174
Stop Event
1×iter limit
1×node limit
Counts
492 → 489
Calls
Call 1
Inputs
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(+ 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))))))
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(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
th
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(* 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)
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(sin th)
(sin th)
(sin th)
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
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(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
1
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(/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2))))) kx)
(/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))) kx)
(/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (* (sqrt 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))))) kx)
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* th (+ (* -1/6 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(* th (+ (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(* th (+ (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(/ (* ky (* (sqrt 1/2) (sqrt 2))) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (sqrt 2))) (sqrt 1/2))) (* ky (* (sqrt 1/2) (sqrt 2)))) kx)
(/ (+ (* ky (* (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sqrt 2)) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))) kx)
(/ (+ (* ky (* (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sqrt 2)) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sqrt 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (sqrt 1/2)))))))) kx)
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(/ (sqrt 1/2) kx)
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(/ 1/2 (pow kx 2))
(/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))
(/ (+ 1/2 (* (pow kx 2) (+ 1/6 (* 1/30 (pow kx 2))))) (pow kx 2))
(/ (+ 1/2 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 1/30 (* 1/189 (pow kx 2))))))) (pow kx 2))
(/ 1 (- 1 (cos (* -2 kx))))
(/ 1 (- 1 (cos (* -2 kx))))
(/ 1 (- 1 (cos (* -2 kx))))
(/ 1 (- 1 (cos (* -2 kx))))
(/ 1 (- 1 (cos (* -2 kx))))
(/ 1 (- 1 (cos (* -2 kx))))
(/ 1 (- 1 (cos (* -2 kx))))
(/ 1 (- 1 (cos (* -2 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)))))
(/ (* (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) (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) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 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)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
(* (* 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 (* (/ (- (* 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 (* (/ (- (* 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 (/ (- (* 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 (* (/ (- (* 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) ky)
(/ (+ (sin ky) (* -1/4 (/ (* (sin ky) (- 1 (cos (* 2 kx)))) (pow ky 2)))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2)))) (pow ky 4))) (* -1/4 (/ (* (sin ky) (- 1 (cos (* 2 kx)))) (pow ky 2))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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) (- 1 (cos (* 2 kx)))) (pow ky 2)))))) ky)
(* -1 (/ (sin ky) ky))
(* -1 (/ (+ (sin ky) (* -1/4 (/ (* (sin ky) (- 1 (cos (* 2 kx)))) (pow ky 2)))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2)))) (pow ky 4))) (* -1/4 (/ (* (sin ky) (- 1 (cos (* 2 kx)))) (pow ky 2))))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 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) (- 1 (cos (* 2 kx)))) (pow ky 2)))))) ky))
(/ 1 ky)
(+ (* -1/2 (/ (pow kx 2) (pow ky 3))) (/ 1 ky))
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* ky (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))) (* 1/2 (/ 1 (pow ky 3))))) (/ 1 ky))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))) (* 1/2 (* ky (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))) (* 1/2 (/ 1 (pow ky 3))))) (/ 1 ky))
(sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))
(sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))
(sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))
(sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2))))
(sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))))
(sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))))
(sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))))
(sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2))))
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))
(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (pow ky 2) (- (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))))))
(+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ (* -2 (/ (- (* 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)))))) (* 1/2 (* (/ (- (* 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 ky)
(/ (+ 1 (* -1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) ky)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (pow ky 4))) (* -1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))) ky)
(/ (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (pow ky 4))) (+ (* -1/2 (/ (+ (* 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 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))) ky)
(/ -1 ky)
(* -1 (/ (+ 1 (* -1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) ky))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (pow ky 4))) (* -1/4 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))) ky))
(* -1 (/ (+ 1 (+ (* -1/2 (/ (+ (* -1/4 (pow (- 1 (cos (* 2 kx))) 2)) (* 1/16 (pow (- 1 (cos (* 2 kx))) 2))) (pow ky 4))) (+ (* -1/2 (/ (+ (* 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 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))))) ky))
(* 2 (pow ky 2))
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(* (sin th) (sqrt 1/2))
(+ (* (sin th) (sqrt 1/2)) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt 1/2))) (* 1/12 (/ (sin th) (sqrt 1/2))))))
(+ (* (sin th) (sqrt 1/2)) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt 1/2))) (+ (* 1/12 (/ (sin th) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/72 (/ (sin th) (sqrt 1/2))) (+ (* 1/120 (* (sin th) (sqrt 1/2))) (* 1/2 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))))))))))
(+ (* (sin th) (sqrt 1/2)) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt 1/2))) (+ (* 1/12 (/ (sin th) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/72 (/ (sin th) (sqrt 1/2))) (+ (* 1/120 (* (sin th) (sqrt 1/2))) (+ (* 1/2 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/12 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (+ (* -1/5040 (* (sin th) (sqrt 1/2))) (+ (* 1/1440 (/ (sin th) (sqrt 1/2))) (* 1/2 (/ (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(sqrt 1/2)
(+ (sqrt 1/2) (* (pow ky 2) (+ (* -1/6 (sqrt 1/2)) (* 1/12 (/ 1 (sqrt 1/2))))))
(+ (sqrt 1/2) (* (pow ky 2) (+ (* -1/6 (sqrt 1/2)) (+ (* 1/12 (/ 1 (sqrt 1/2))) (* (pow ky 2) (- (+ (* 1/120 (sqrt 1/2)) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (* 1/72 (/ 1 (sqrt 1/2)))))))))
(+ (sqrt 1/2) (* (pow ky 2) (+ (* -1/6 (sqrt 1/2)) (+ (* 1/12 (/ 1 (sqrt 1/2))) (* (pow ky 2) (- (+ (* 1/120 (sqrt 1/2)) (+ (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (+ (* -1/5040 (sqrt 1/2)) (+ (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/2 (/ (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (sqrt 1/2))))))))) (* 1/72 (/ 1 (sqrt 1/2)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 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)
(* 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)))))))
(* 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)))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(/ 1 (pow ky 2))
(+ (* -1 (/ (pow kx 2) (pow ky 4))) (/ 1 (pow ky 2)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow ky 4))) (/ 1 (pow ky 6)))) (/ 1 (pow ky 4)))) (/ 1 (pow ky 2)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))) (+ (* 1/3 (/ 1 (pow ky 4))) (/ 1 (pow ky 6))))) (/ 1 (pow ky 4)))) (/ 1 (pow ky 2)))
(/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(/ 2 (- 1 (cos (* 2 kx))))
(+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* (pow ky 2) (- (* 8 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 3))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -16 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 4))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(/ 1 (pow ky 2))
(/ (+ 1 (* -1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))
(/ (- (+ 1 (* 1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4)))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))
(/ (- (+ 1 (* -1/8 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6)))) (+ (* -1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))) (pow ky 2))
(/ 1 (pow ky 2))
(/ (+ 1 (* -1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))
(/ (- (+ 1 (* 1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4)))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))
(/ (- (+ 1 (* -1/8 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6)))) (+ (* -1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))) (pow ky 2))
(* 2 (pow ky 2))
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(+ 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 (sqrt 2))
(* ky (+ (sqrt 2) (* -1/3 (/ (pow ky 2) (sqrt 2)))))
(* ky (+ (sqrt 2) (* (pow ky 2) (- (* 1/2 (/ (* (pow ky 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2)))))))
(* ky (+ (sqrt 2) (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
Outputs
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #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) (sin.f64 th)))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(fma.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 kx kx))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (*.f64 (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (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 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(+ (* (* (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 ky) (sin.f64 th)) (+.f64 (+.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)))) (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 #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 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64))))))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (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 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (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 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
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(/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (* (sqrt 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))))) 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))))))))))))))))))))
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(/ (* (sin ky) (sin th)) ky)
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(* -1 (/ (* (sin ky) (sin th)) ky))
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(* -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))
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(* -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))
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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 (+ (* (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))))))))))
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(* 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))))))))))))
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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 (* 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) ky)
(/.f64 (sin.f64 ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 kx kx)) (*.f64 ky (*.f64 ky ky))) (/.f64 (sin.f64 ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 ky (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky)))) (/.f64 (sin.f64 ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 ky) (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 #s(literal 1/2 binary64) (*.f64 (*.f64 ky (sin.f64 ky)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky)))) (/.f64 (sin.f64 ky) ky))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))))
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(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (* 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 (/ (- (* 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 (* (/ (- (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
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(/ (sin ky) ky)
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 (neg (* -2 ky)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 (neg (* -2 ky)))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(* (sin th) (sqrt 1/2))
(*.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* (sin th) (sqrt 1/2)) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt 1/2))) (* 1/12 (/ (sin th) (sqrt 1/2))))))
(fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))))
(+ (* (sin th) (sqrt 1/2)) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt 1/2))) (+ (* 1/12 (/ (sin th) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/72 (/ (sin th) (sqrt 1/2))) (+ (* 1/120 (* (sin th) (sqrt 1/2))) (* 1/2 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))))))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 th) #s(literal 7/360 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal -1/72 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sin th) (sqrt 1/2)) (* (pow ky 2) (+ (* -1/6 (* (sin th) (sqrt 1/2))) (+ (* 1/12 (/ (sin th) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/72 (/ (sin th) (sqrt 1/2))) (+ (* 1/120 (* (sin th) (sqrt 1/2))) (+ (* 1/2 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/12 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (+ (* -1/5040 (* (sin th) (sqrt 1/2))) (+ (* 1/1440 (/ (sin th) (sqrt 1/2))) (* 1/2 (/ (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2)))))))))))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/72 binary64) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 (sin.f64 th) #s(literal 7/360 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 th) #s(literal 31/15120 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 #s(literal 1/1440 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) #s(literal 7/360 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky)))))))))
(*.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 ky #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 ky)))))))))
(*.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 ky #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 ky)))))))))
(*.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 ky #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 (neg (* -2 ky))))))))))
(*.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 ky #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 (neg (* -2 ky))))))))))
(*.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 ky #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 (neg (* -2 ky))))))))))
(*.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 ky #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 (neg (* -2 ky))))))))))
(*.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 ky #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 ky)))))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))
(*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))
(*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky)))))))))
(*.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 ky #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 ky)))))))))
(*.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 ky #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 ky)))))))))
(*.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 ky #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 ky)))))))))
(*.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 ky #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 ky)))))))))
(*.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 ky #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 ky)))))))))
(*.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 ky #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 ky)))))))))
(*.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 ky #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 ky)))))))))
(*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(sqrt 1/2)
(sqrt.f64 #s(literal 1/2 binary64))
(+ (sqrt 1/2) (* (pow ky 2) (+ (* -1/6 (sqrt 1/2)) (* 1/12 (/ 1 (sqrt 1/2))))))
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* (pow ky 2) (+ (* -1/6 (sqrt 1/2)) (+ (* 1/12 (/ 1 (sqrt 1/2))) (* (pow ky 2) (- (+ (* 1/120 (sqrt 1/2)) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2)))) (* 1/72 (/ 1 (sqrt 1/2)))))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 7/720 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/120 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal -1/72 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (sqrt 1/2) (* (pow ky 2) (+ (* -1/6 (sqrt 1/2)) (+ (* 1/12 (/ 1 (sqrt 1/2))) (* (pow ky 2) (- (+ (* 1/120 (sqrt 1/2)) (+ (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (* (pow ky 2) (+ (* -1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))) (+ (* -1/5040 (sqrt 1/2)) (+ (* 1/1440 (/ 1 (sqrt 1/2))) (* 1/2 (/ (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))) (sqrt 1/2))))))))) (* 1/72 (/ 1 (sqrt 1/2)))))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (fma.f64 #s(literal 1/120 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 7/720 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal -7/4320 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (+.f64 (fma.f64 #s(literal -1/5040 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 31/30240 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/1440 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 #s(literal -1/72 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky)))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky)))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky)))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)
(* 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 #s(literal -1/5040 binary64) (*.f64 ky ky) #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)
(* 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))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1/6 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) #s(literal -1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(+ (* 1/2 (* (/ (pow ky 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 ky (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))
(fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))
(fma.f64 (*.f64 ky ky) (fma.f64 #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 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 2/45 binary64)) (*.f64 ky (/.f64 ky (sqrt.f64 #s(literal 1/2 binary64))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal -1/6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* 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 (* -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))))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(/ 1 (pow ky 2))
(/.f64 #s(literal 1 binary64) (*.f64 ky ky))
(+ (* -1 (/ (pow kx 2) (pow ky 4))) (/ 1 (pow ky 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky)) (/.f64 (*.f64 kx kx) (pow.f64 ky #s(literal 4 binary64))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow ky 4))) (/ 1 (pow ky 6)))) (/ 1 (pow ky 4)))) (/ 1 (pow ky 2)))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 ky ky)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))) (+ (* 1/3 (/ 1 (pow ky 4))) (/ 1 (pow ky 6))))) (/ 1 (pow ky 4)))) (/ 1 (pow ky 2)))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 (+.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))))) (neg.f64 (*.f64 kx kx)) (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 ky ky)))
(/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(/.f64 #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)))
(/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(/.f64 #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)))
(/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(/.f64 #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)))
(/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow ky 2)))
(/.f64 #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)))
(/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(/.f64 #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)))
(/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(/.f64 #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)))
(/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(/.f64 #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)))
(/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 kx))))) (pow ky 2)))
(/.f64 #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)))
(/ 2 (- 1 (cos (* 2 kx))))
(/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 ky ky) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(+ (* (pow ky 2) (- (* 8 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 3))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (/.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 -4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -16 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 4))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -16 binary64) (/.f64 (*.f64 ky ky) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 4 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 -4 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/ 1 (pow ky 2))
(/.f64 #s(literal 1 binary64) (*.f64 ky ky))
(/ (+ 1 (* -1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) #s(literal 1 binary64)) (*.f64 ky ky))
(/ (- (+ 1 (* 1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4)))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))
(/.f64 (fma.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)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) #s(literal 1 binary64))) (*.f64 ky ky))
(/ (- (+ 1 (* -1/8 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6)))) (+ (* -1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))) (pow ky 2))
(/.f64 (-.f64 (fma.f64 #s(literal -1/8 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))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 ky #s(literal 4 binary64)))))) (*.f64 ky ky))
(/ 1 (pow ky 2))
(/.f64 #s(literal 1 binary64) (*.f64 ky ky))
(/ (+ 1 (* -1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) #s(literal 1 binary64)) (*.f64 ky ky))
(/ (- (+ 1 (* 1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4)))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2)))) (pow ky 2))
(/.f64 (fma.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)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) #s(literal 1 binary64))) (*.f64 ky ky))
(/ (- (+ 1 (* -1/8 (/ (pow (- 1 (cos (* 2 kx))) 3) (pow ky 6)))) (+ (* -1/4 (/ (pow (- 1 (cos (* 2 kx))) 2) (pow ky 4))) (* 1/2 (/ (- 1 (cos (* 2 kx))) (pow ky 2))))) (pow ky 2))
(/.f64 (-.f64 (fma.f64 #s(literal -1/8 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))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal -1/4 binary64) (pow.f64 ky #s(literal 4 binary64)))))) (*.f64 ky ky))
(* 2 (pow ky 2))
(*.f64 #s(literal 2 binary64) (*.f64 ky ky))
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -2/3 binary64) #s(literal 2 binary64)))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 4/45 binary64) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -2/315 binary64) #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64)))
(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(- 1 (cos (neg (* -2 ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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)))
(+ 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 (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (+ (sqrt 2) (* -1/3 (/ (pow ky 2) (sqrt 2)))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(* ky (+ (sqrt 2) (* (pow ky 2) (- (* 1/2 (/ (* (pow ky 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2)))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) #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))))
(* ky (+ (sqrt 2) (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 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 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) #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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 (neg (* -2 ky))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 (neg (* -2 ky))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 (neg (* -2 ky))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 (neg (* -2 ky))))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))

eval216.0ms (1.4%)

Memory
13.8MiB live, 324.9MiB allocated
Compiler

Compiled 26 841 to 2 539 computations (90.5% saved)

prune214.0ms (1.4%)

Memory
-2.0MiB live, 353.1MiB allocated
Pruning

86 alts after pruning (83 fresh and 3 done)

PrunedKeptTotal
New92145966
Fresh73845
Picked415
Done022
Total932861 018
Accuracy
100.0%
Counts
1 018 → 86
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.6%
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
5.6%
(fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))))
78.7%
(/.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)))
8.9%
(/.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))))
18.9%
(/.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)))))
19.1%
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
22.7%
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 ky ky) (*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) #s(literal 2 binary64))) ky) (-.f64 (*.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 ky) (*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64))))))
10.3%
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
78.7%
(/.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)))))))
40.6%
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
30.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
21.6%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
32.3%
(/.f64 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 ky)))
✓78.8%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
33.7%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (sin.f64 ky)))
33.2%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 ky)))
32.3%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)))
▶46.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))
5.6%
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
16.6%
(*.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))
76.7%
(*.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))
27.7%
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
78.5%
(*.f64 (/.f64 (sin.f64 ky) (pow.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))) (sin.f64 th))
✓99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
57.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
7.1%
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
▶78.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
36.2%
(*.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 ky ky)))) (sin.f64 th))
27.5%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
46.6%
(*.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))
73.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64))))) (sin.f64 th))
33.9%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
13.9%
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
23.3%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
31.0%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
22.1%
(*.f64 (/.f64 ky kx) (sin.f64 th))
22.1%
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
46.5%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
27.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
13.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
78.7%
(*.f64 (*.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))))))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
27.5%
(*.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)))))))
13.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
▶17.9%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
32.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
78.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
40.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
35.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (sin.f64 ky)) (sin.f64 th))
34.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
34.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
23.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
23.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
46.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.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))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
27.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
36.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
34.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
33.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
17.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
19.9%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
11.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
19.9%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
22.0%
(*.f64 (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
27.5%
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (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)))))))
▶27.7%
(*.f64 (*.f64 (sin.f64 th) (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))))
32.9%
(*.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)))))
78.6%
(*.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))))))))
9.3%
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
28.9%
(*.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))))))
40.6%
(*.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))))))
22.7%
(*.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)))) (*.f64 ky ky)))))
16.5%
(*.f64 (*.f64 ky th) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
17.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
11.2%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
46.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
13.9%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
19.5%
(*.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)))
19.6%
(*.f64 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
19.6%
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
18.9%
(*.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)))))))
11.2%
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th)))))
11.6%
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
▶19.7%
(*.f64 th #s(literal 1 binary64))
10.5%
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
31.0%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
11.6%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
✓30.9%
(sin.f64 th)
Compiler

Compiled 3 629 to 2 408 computations (33.6% saved)

simplify237.0ms (1.5%)

Memory
2.4MiB live, 245.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
✓cost-diff0
(sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓cost-diff0
(/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓cost-diff0
(sin.f64 th)
✓cost-diff0
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
✓cost-diff0
(*.f64 (*.f64 (sin.f64 th) (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))))
✓cost-diff128
(cos.f64 (*.f64 kx #s(literal -2 binary64)))
✓cost-diff0
(sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx)))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
✓cost-diff512
(/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))
✓cost-diff320
(*.f64 th #s(literal 1 binary64))
✓cost-diff0
(sin.f64 ky)
✓cost-diff0
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
✓cost-diff0
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
✓cost-diff384
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
Rules
3 708×lower-fma.f32
3 698×lower-fma.f64
2 308×lower-*.f32
2 288×lower-*.f64
900×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043352
081350
1128350
2215348
3344340
4441340
5615340
6774340
7986340
81265340
91638340
102344340
112746340
123440328
134994328
145515328
156000328
166212328
176304328
186618328
197602328
08016324
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 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #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)
ky
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (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 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal 1 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
#s(literal 1/2 binary64)
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal -1/2 binary64)
(sin.f64 th)
th
(*.f64 th #s(literal 1 binary64))
th
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx)))
(/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))
(fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 kx kx)
kx
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
ky
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sin.f64 th)
th
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(sin.f64 th)
th
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (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))))
(cos.f64 (*.f64 kx #s(literal -2 binary64)))
(*.f64 kx #s(literal -2 binary64))
kx
#s(literal -2 binary64)
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
ky
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
kx
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 ky)
(sin.f64 th)
th
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #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) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))))
(sin.f64 ky)
ky
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #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 (cos.f64 (+.f64 ky ky)) (cos.f64 (+.f64 kx kx))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
#s(literal 1 binary64)
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
#s(literal 1/2 binary64)
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 kx kx))
(+.f64 kx kx)
kx
#s(literal -1/2 binary64)
(sin.f64 th)
th
(*.f64 th #s(literal 1 binary64))
th
th
#s(literal 1 binary64)
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1/6 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))
(*.f64 ky (*.f64 (sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx)))
(sqrt.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1/6 binary64)))
(/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(*.f64 kx kx)
kx
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
ky
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sin.f64 th)
th
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))))
(sin.f64 th)
th
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))))
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
(cos.f64 (*.f64 kx #s(literal -2 binary64)))
(cos.f64 (+.f64 kx kx))
(*.f64 kx #s(literal -2 binary64))
(-.f64 (neg.f64 kx) kx)
kx
#s(literal -2 binary64)
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
ky
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (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 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 kx kx #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 (fma.f64 kx kx (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 (sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(sqrt.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (fma.f64 kx kx #s(literal 1/2 binary64))))
(fma.f64 kx kx (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) (fma.f64 kx kx #s(literal 1/2 binary64)))
kx
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
ky
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
(*.f64 (sin.f64 ky) (sin.f64 th))
(sin.f64 ky)
(sin.f64 th)
th

localize438.0ms (2.8%)

Memory
13.7MiB live, 728.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))
✓accuracy96.7%
(/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
✓accuracy76.6%
(sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓accuracy76.0%
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
✓accuracy99.5%
(*.f64 (*.f64 (sin.f64 th) (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))))
✓accuracy99.3%
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
✓accuracy83.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
✓accuracy69.5%
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
✓accuracy99.3%
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
✓accuracy96.7%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
✓accuracy84.0%
(sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx)))
✓accuracy78.9%
(/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))
✓accuracy100.0%
(*.f64 th #s(literal 1 binary64))
✓accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
✓accuracy96.5%
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
✓accuracy76.0%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
✓accuracy69.5%
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
Samples
221.0ms145×2valid
48.0ms15×4valid
43.0ms68×0valid
39.0ms23×3valid
4.0ms5×1valid
Compiler

Compiled 354 to 49 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 249.0ms
ival-cos: 84.0ms (33.7% of total)
ival-div: 39.0ms (15.7% of total)
ival-mult: 37.0ms (14.9% of total)
adjust: 28.0ms (11.2% of total)
ival-sqrt: 17.0ms (6.8% of total)
ival-add: 17.0ms (6.8% of total)
ival-sin: 12.0ms (4.8% of total)
ival-sub: 8.0ms (3.2% of total)
const: 5.0ms (2% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series70.0ms (0.4%)

Memory
22.3MiB live, 133.4MiB allocated
Counts
24 → 492
Calls
Call 1
Inputs
#<alt (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))>
#<alt (sin.f64 ky)>
#<alt (*.f64 th #s(literal 1 binary64))>
#<alt (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))>
#<alt (*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))>
#<alt (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))>
#<alt (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx)))>
#<alt (cos.f64 (*.f64 kx #s(literal -2 binary64)))>
#<alt (*.f64 (*.f64 (sin.f64 th) (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))))>
#<alt (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))>
#<alt (sin.f64 th)>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))>
#<alt (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))>
#<alt (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))>
#<alt (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))>
#<alt (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))>
#<alt (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))>
#<alt (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))>
#<alt (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))>
#<alt (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))>
Outputs
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))>
#<alt (* 1/2 (- 1 (cos (* 2 ky))))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))>
#<alt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))>
#<alt (* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))>
#<alt (* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))>
#<alt (+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))>
#<alt (+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))>
#<alt (+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))>
#<alt (* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))>
#<alt (* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))>
#<alt (* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))>
#<alt (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))>
#<alt (+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))>
#<alt (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))>
#<alt (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 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 th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt th>
#<alt (/ 1/2 (pow kx 2))>
#<alt (/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))>
#<alt (/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))>
#<alt (/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/2 (/ 1 (pow kx 2))))>
#<alt (+ 1/6 (* 1/2 (/ 1 (pow kx 2))))>
#<alt (+ 1/6 (* 1/2 (/ 1 (pow kx 2))))>
#<alt 1/6>
#<alt (+ 1/6 (* 1/2 (/ 1 (pow kx 2))))>
#<alt (+ 1/6 (* 1/2 (/ 1 (pow kx 2))))>
#<alt (+ 1/6 (* 1/2 (/ 1 (pow kx 2))))>
#<alt (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) kx)>
#<alt (/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2))))) kx)>
#<alt (/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* -1/288 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (pow (sqrt 1/2) 3))) (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2)))))) kx)>
#<alt (/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* -1/288 (/ (* ky (* (sin th) (sqrt 2))) (pow (sqrt 1/2) 3))) (* 1/3456 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (pow (sqrt 1/2) 5)))))))) kx)>
#<alt (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))>
#<alt (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))>
#<alt (+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))))>
#<alt (+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))))>
#<alt (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))>
#<alt (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))>
#<alt (+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))))>
#<alt (+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* th (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* th (+ (* -1/6 (* (/ (* ky (* (pow th 2) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))))>
#<alt (* th (+ (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/6 (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* 1/120 (* (/ (* ky (* (pow th 2) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))))))))>
#<alt (* th (+ (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/6 (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* ky (* (pow th 2) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* 1/120 (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))))))))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (/ (* ky (* (sqrt 1/2) (sqrt 2))) kx)>
#<alt (/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (sqrt 2))) (sqrt 1/2))) (* ky (* (sqrt 1/2) (sqrt 2)))) kx)>
#<alt (/ (+ (* ky (* (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/288 (/ (* (pow kx 2) (* ky (sqrt 2))) (pow (sqrt 1/2) 3))) (* 1/12 (/ (* ky (sqrt 2)) (sqrt 1/2)))))) kx)>
#<alt (/ (+ (* ky (* (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sqrt 2)) (sqrt 1/2))) (* (pow kx 2) (+ (* -1/288 (/ (* ky (sqrt 2)) (pow (sqrt 1/2) 3))) (* 1/3456 (/ (* (pow kx 2) (* ky (sqrt 2))) (pow (sqrt 1/2) 5)))))))) kx)>
#<alt (* ky (* (sqrt 1/6) (sqrt 2)))>
#<alt (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2))))>
#<alt (+ (* -1/32 (/ (* ky (sqrt 2)) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2)))))>
#<alt (+ (* -1/32 (/ (* ky (sqrt 2)) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (sqrt 2)) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2))))))>
#<alt (* ky (* (sqrt 1/6) (sqrt 2)))>
#<alt (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2))))>
#<alt (+ (* -1/32 (/ (* ky (sqrt 2)) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2)))))>
#<alt (+ (* -1/32 (/ (* ky (sqrt 2)) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (sqrt 2)) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2))))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))>
#<alt (/ (sqrt 1/2) kx)>
#<alt (/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)>
#<alt (/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* -1/288 (/ (pow kx 2) (pow (sqrt 1/2) 3))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)>
#<alt (/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/3456 (/ (pow kx 2) (pow (sqrt 1/2) 5))) (* 1/288 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)>
#<alt (sqrt 1/6)>
#<alt (+ (sqrt 1/6) (* 1/4 (/ 1 (* (pow kx 2) (sqrt 1/6)))))>
#<alt (- (+ (sqrt 1/6) (/ 1/4 (* (pow kx 2) (sqrt 1/6)))) (/ 1/32 (* (pow kx 4) (pow (sqrt 1/6) 3))))>
#<alt (- (+ (sqrt 1/6) (+ (/ 1/4 (* (pow kx 2) (sqrt 1/6))) (* 1/128 (/ 1 (* (pow kx 6) (pow (sqrt 1/6) 5)))))) (* 1/32 (/ 1 (* (pow kx 4) (pow (sqrt 1/6) 3)))))>
#<alt (sqrt 1/6)>
#<alt (+ (sqrt 1/6) (* 1/4 (/ 1 (* (pow kx 2) (sqrt 1/6)))))>
#<alt (- (+ (sqrt 1/6) (/ 1/4 (* (pow kx 2) (sqrt 1/6)))) (/ 1/32 (* (pow kx 4) (pow (sqrt 1/6) 3))))>
#<alt (- (+ (sqrt 1/6) (+ (/ 1/4 (* (pow kx 2) (sqrt 1/6))) (* 1/128 (/ 1 (* (pow kx 6) (pow (sqrt 1/6) 5)))))) (* 1/32 (/ 1 (* (pow kx 4) (pow (sqrt 1/6) 3)))))>
#<alt 1>
#<alt (+ 1 (* -2 (pow kx 2)))>
#<alt (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))>
#<alt (cos (* -2 kx))>
#<alt (cos (* -2 kx))>
#<alt (cos (* -2 kx))>
#<alt (cos (* -2 kx))>
#<alt (cos (* -2 kx))>
#<alt (cos (* -2 kx))>
#<alt (cos (* -2 kx))>
#<alt (cos (* -2 kx))>
#<alt (* (* ky (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* th (+ (* -1/6 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))>
#<alt (* th (+ (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))>
#<alt (* th (+ (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) kx)>
#<alt (/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2))))) kx)>
#<alt (/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))) kx)>
#<alt (/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (* (sqrt 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))))) kx)>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* th (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* th (+ (sqrt (/ 1 (- 1 (cos (* -2 kx))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))>
#<alt (* th (+ (sqrt (/ 1 (- 1 (cos (* -2 kx))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))>
#<alt (* th (+ (sqrt (/ 1 (- 1 (cos (* -2 kx))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (/ (* (sin th) (sqrt 1/2)) kx)>
#<alt (/ (+ (* 1/12 (/ (* (pow kx 2) (sin th)) (sqrt 1/2))) (* (sin th) (sqrt 1/2))) kx)>
#<alt (/ (+ (* (sin th) (sqrt 1/2)) (* (pow kx 2) (+ (* 1/12 (/ (sin th) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2)))))) kx)>
#<alt (/ (+ (* (sin th) (sqrt 1/2)) (* (pow kx 2) (+ (* 1/12 (/ (sin th) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)))))))) kx)>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<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) (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))))) (* 3/8 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))>
#<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) (+ (* -5/16 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/8 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (* (sin ky) (sin th)))) kx)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow kx 6))) (* (sin ky) (sin th))))) kx)>
#<alt (* -1 (/ (* (sin ky) (sin th)) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (* (sin ky) (sin th))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (* (sin ky) (sin th)))) kx))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow kx 6))) (* (sin ky) (sin th))))) kx))>
#<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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (* 1/2 (* (/ (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
#<alt (+ (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/8 (* (/ (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (/ 1 (* (sin ky) (sin th))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))>
#<alt (+ (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (* (sin ky) (sin th))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow kx 2) (+ (* -1/8 (* (/ 1 (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/16 (* (/ (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))>
#<alt (/ kx (* (sin ky) (sin th)))>
#<alt (* kx (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th)))))>
#<alt (* kx (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (* (pow kx 4) (* (sin ky) (sin th))))) (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th))))))>
#<alt (* kx (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (* (pow kx 4) (* (sin ky) (sin th))))) (+ (* 1/16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (* (pow kx 6) (* (sin ky) (sin th))))) (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th)))))))>
#<alt (* -1 (/ kx (* (sin ky) (sin th))))>
#<alt (* -1 (* kx (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th))))))>
#<alt (* -1 (* kx (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (* (pow kx 4) (* (sin ky) (sin th))))) (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th)))))))>
#<alt (* -1 (* kx (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (* (pow kx 4) (* (sin ky) (sin th))))) (+ (* 1/16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (* (pow kx 6) (* (sin ky) (sin th))))) (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th))))))))>
#<alt (/ kx (* ky (sin th)))>
#<alt (/ (+ (* (pow ky 2) (+ (* 1/6 (/ kx (sin th))) (* 1/2 (/ 1 (* kx (sin th)))))) (/ kx (sin th))) ky)>
#<alt (/ (+ (* (pow ky 2) (+ (* 1/6 (/ kx (sin th))) (+ (* 1/2 (/ 1 (* kx (sin th)))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (* kx (sin th)))) (+ (* 7/360 (/ kx (sin th))) (* 1/12 (/ 1 (* kx (sin th)))))))))) (/ kx (sin th))) ky)>
#<alt (/ (+ (* (pow ky 2) (+ (* 1/6 (/ kx (sin th))) (+ (* 1/2 (/ 1 (* kx (sin th)))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (* kx (sin th)))) (+ (* 7/360 (/ kx (sin th))) (+ (* 1/12 (/ 1 (* kx (sin th)))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (* kx (sin th)))) (+ (* 31/15120 (/ kx (sin th))) (+ (* 7/720 (/ 1 (* kx (sin th)))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2)))) (* kx (sin th))))))))))))))) (/ kx (sin th))) ky)>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))>
#<alt (* (/ 1 (* th (sin ky))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (/ (+ (* 1/6 (* (/ (pow th 2) (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) th)>
#<alt (/ (+ (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))) (* (pow th 2) (+ (* 7/360 (* (/ (pow th 2) (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* 1/6 (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))) th)>
#<alt (/ (+ (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))) (* (pow th 2) (+ (* 1/6 (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* 31/15120 (* (/ (pow th 2) (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* 7/360 (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))))) th)>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<alt (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))>
#<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) (+ (* -1/8 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 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) (+ (* -1/8 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 1/16 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))>
#<alt kx>
#<alt (* kx (+ 1 (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))))))>
#<alt (* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* 1/16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))))))>
#<alt (* -1 kx)>
#<alt (* -1 (* kx (+ 1 (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))))))>
#<alt (* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* 1/16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 ky))))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))>
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))>
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))>
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))>
#<alt (* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))>
#<alt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (* 2 kx))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))>
#<alt (* 2 (pow ky 2))>
#<alt (* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))>
#<alt (* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (* 2 ky)))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (- 1 (cos (neg (* -2 ky))))>
#<alt (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))>
#<alt (+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))>
#<alt (+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))>
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))>
#<alt (+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 2))>
#<alt (* ky (sqrt 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 (/ (sqrt 1/2) kx)>
#<alt (/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)>
#<alt (/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)>
#<alt (/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 1 (cos (* -2 kx)))))>
#<alt (sqrt (/ 1 (- 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)))))>
Calls

123 calls:

TimeVariablePointExpression
5.0ms
kx
@0
(* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ (* (cos (+ kx kx)) -1/2) 1/2)))) (sin th))
5.0ms
th
@-inf
(* th 1)
3.0ms
ky
@0
(* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (+ (* (cos (+ kx kx)) -1/2) 1/2)))) (sin th))
2.0ms
ky
@inf
(/ (sqrt (+ (* kx kx) (+ (* (cos (+ ky ky)) -1/2) 1/2))) (* (sin ky) (sin th)))
2.0ms
th
@0
(* (* (sqrt (/ (+ (* (* kx kx) 1/6) 1/2) (* kx kx))) (* ky (sqrt 2))) (sin th))

rewrite112.0ms (0.7%)

Memory
-20.9MiB live, 178.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
934×lower-*.f32
914×lower-*.f64
786×lower-/.f32
776×lower-/.f64
682×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043264
081262
1286252
02091252
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
24 → 300
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(sin.f64 ky)
(*.f64 th #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx)))
(cos.f64 (*.f64 kx #s(literal -2 binary64)))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(sin.f64 th)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (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 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th)))
(sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #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 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
Outputs
(+.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #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)))
(+.f64 (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #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 ky ky))) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/4 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))
(fma.f64 (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 ky ky))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (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)))
(/.f64 #s(literal 1 binary64) (/.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))) (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 (fma.f64 (cos.f64 (+.f64 ky ky)) #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 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 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #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 ky ky))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (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 (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 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #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 ky ky))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(/.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 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (neg.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 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (neg.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 (neg.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 (fma.f64 (cos.f64 (+.f64 ky ky)) #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 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 (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) (-.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #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 ky ky))) #s(literal 1/2 binary64)) #s(literal 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))))
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64)))) #s(literal 1/4 binary64)) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))
(*.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 (fma.f64 (cos.f64 (+.f64 ky ky)) #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 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 (-.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 (fma.f64 (cos.f64 (+.f64 ky ky)) #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 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 #s(literal 1 binary64) (/.f64 (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 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 (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)))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (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)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (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 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (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)))) (sin.f64 ky)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (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)))) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 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))))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (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 (/.f64 (sin.f64 ky) (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))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (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 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 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))))))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (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)))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (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 #s(literal 1 binary64) (/.f64 (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)))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (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)))) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 (sin.f64 ky) (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 #s(literal -1 binary64) (neg.f64 (/.f64 (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)))) (sin.f64 ky))))
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(/.f64 (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 ky ky))))) #s(literal -1/4 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (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 ky ky))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (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 ky ky))))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal -1/2 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 ky ky))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64))))
(*.f64 (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/4 binary64))))))
(*.f64 (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 ky ky))))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal -1/2 binary64))))

simplify445.0ms (2.8%)

Memory
6.2MiB live, 635.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 234×lower-fma.f64
8 234×lower-fma.f32
6 778×lower-*.f64
6 778×lower-*.f32
6 506×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109911786
1352011248
0824410427
Stop Event
1×iter limit
1×node limit
Counts
492 → 476
Calls
Call 1
Inputs
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky)))))))
(* 1/2 (- 1 (cos (* 2 ky))))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))))
(+ (* 1/2 (- 1 (cos (* 2 ky)))) (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))
(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 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)
th
th
th
th
th
th
th
th
th
th
th
th
(/ 1/2 (pow kx 2))
(/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))
(/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))
(/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))
1/6
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
1/6
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2))))) kx)
(/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* -1/288 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (pow (sqrt 1/2) 3))) (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2)))))) kx)
(/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* -1/288 (/ (* ky (* (sin th) (sqrt 2))) (pow (sqrt 1/2) 3))) (* 1/3456 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (pow (sqrt 1/2) 5)))))))) kx)
(* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))
(+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))
(+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))))
(+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))))
(* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))
(+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))
(+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))))
(+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* th (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* th (+ (* -1/6 (* (/ (* ky (* (pow th 2) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))))
(* th (+ (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/6 (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* 1/120 (* (/ (* ky (* (pow th 2) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))))))))
(* th (+ (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/6 (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* ky (* (pow th 2) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* 1/120 (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))))))))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(/ (* ky (* (sqrt 1/2) (sqrt 2))) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (sqrt 2))) (sqrt 1/2))) (* ky (* (sqrt 1/2) (sqrt 2)))) kx)
(/ (+ (* ky (* (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/288 (/ (* (pow kx 2) (* ky (sqrt 2))) (pow (sqrt 1/2) 3))) (* 1/12 (/ (* ky (sqrt 2)) (sqrt 1/2)))))) kx)
(/ (+ (* ky (* (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sqrt 2)) (sqrt 1/2))) (* (pow kx 2) (+ (* -1/288 (/ (* ky (sqrt 2)) (pow (sqrt 1/2) 3))) (* 1/3456 (/ (* (pow kx 2) (* ky (sqrt 2))) (pow (sqrt 1/2) 5)))))))) kx)
(* ky (* (sqrt 1/6) (sqrt 2)))
(+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2))))
(+ (* -1/32 (/ (* ky (sqrt 2)) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2)))))
(+ (* -1/32 (/ (* ky (sqrt 2)) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (sqrt 2)) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2))))))
(* ky (* (sqrt 1/6) (sqrt 2)))
(+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2))))
(+ (* -1/32 (/ (* ky (sqrt 2)) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2)))))
(+ (* -1/32 (/ (* ky (sqrt 2)) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (sqrt 2)) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2))))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(/ (sqrt 1/2) kx)
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* -1/288 (/ (pow kx 2) (pow (sqrt 1/2) 3))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (- (* 1/3456 (/ (pow kx 2) (pow (sqrt 1/2) 5))) (* 1/288 (/ 1 (pow (sqrt 1/2) 3))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)
(sqrt 1/6)
(+ (sqrt 1/6) (* 1/4 (/ 1 (* (pow kx 2) (sqrt 1/6)))))
(- (+ (sqrt 1/6) (/ 1/4 (* (pow kx 2) (sqrt 1/6)))) (/ 1/32 (* (pow kx 4) (pow (sqrt 1/6) 3))))
(- (+ (sqrt 1/6) (+ (/ 1/4 (* (pow kx 2) (sqrt 1/6))) (* 1/128 (/ 1 (* (pow kx 6) (pow (sqrt 1/6) 5)))))) (* 1/32 (/ 1 (* (pow kx 4) (pow (sqrt 1/6) 3)))))
(sqrt 1/6)
(+ (sqrt 1/6) (* 1/4 (/ 1 (* (pow kx 2) (sqrt 1/6)))))
(- (+ (sqrt 1/6) (/ 1/4 (* (pow kx 2) (sqrt 1/6)))) (/ 1/32 (* (pow kx 4) (pow (sqrt 1/6) 3))))
(- (+ (sqrt 1/6) (+ (/ 1/4 (* (pow kx 2) (sqrt 1/6))) (* 1/128 (/ 1 (* (pow kx 6) (pow (sqrt 1/6) 5)))))) (* 1/32 (/ 1 (* (pow kx 4) (pow (sqrt 1/6) 3)))))
1
(+ 1 (* -2 (pow kx 2)))
(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(cos (* -2 kx))
(* (* ky (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* th (+ (* -1/6 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(* th (+ (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(* th (+ (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2))))) kx)
(/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))) kx)
(/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* ky (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* ky (* (sin th) (* (sqrt 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))))) kx)
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* th (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* th (+ (sqrt (/ 1 (- 1 (cos (* -2 kx))))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))
(* th (+ (sqrt (/ 1 (- 1 (cos (* -2 kx))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(* th (+ (sqrt (/ 1 (- 1 (cos (* -2 kx))))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(/ (* (sin th) (sqrt 1/2)) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (sin th)) (sqrt 1/2))) (* (sin th) (sqrt 1/2))) kx)
(/ (+ (* (sin th) (sqrt 1/2)) (* (pow kx 2) (+ (* 1/12 (/ (sin th) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2)))))) kx)
(/ (+ (* (sin th) (sqrt 1/2)) (* (pow kx 2) (+ (* 1/12 (/ (sin th) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2)))))) (sqrt 1/2)))))))) kx)
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sin th) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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 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))))) (* 3/8 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))
(+ (* (* (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) (+ (* -5/16 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/8 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (* (sin ky) (sin th)))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow kx 6))) (* (sin ky) (sin th))))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (* (sin ky) (sin th))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (* (sin ky) (sin th)))) kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow kx 6))) (* (sin ky) (sin th))))) kx))
(/ (* 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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))
(+ (* 1/2 (* (/ (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -1/8 (* (/ (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (/ 1 (* (sin ky) (sin th))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))
(+ (* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (* (sin ky) (sin th))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* (pow kx 2) (+ (* -1/8 (* (/ 1 (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/16 (* (/ (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))
(/ kx (* (sin ky) (sin th)))
(* kx (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th)))))
(* kx (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (* (pow kx 4) (* (sin ky) (sin th))))) (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th))))))
(* kx (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (* (pow kx 4) (* (sin ky) (sin th))))) (+ (* 1/16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (* (pow kx 6) (* (sin ky) (sin th))))) (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th)))))))
(* -1 (/ kx (* (sin ky) (sin th))))
(* -1 (* kx (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th))))))
(* -1 (* kx (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (* (pow kx 4) (* (sin ky) (sin th))))) (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th)))))))
(* -1 (* kx (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (* (pow kx 4) (* (sin ky) (sin th))))) (+ (* 1/16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (* (pow kx 6) (* (sin ky) (sin th))))) (+ (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (* (pow kx 2) (* (sin ky) (sin th))))) (/ 1 (* (sin ky) (sin th))))))))
(/ kx (* ky (sin th)))
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ kx (sin th))) (* 1/2 (/ 1 (* kx (sin th)))))) (/ kx (sin th))) ky)
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ kx (sin th))) (+ (* 1/2 (/ 1 (* kx (sin th)))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (* kx (sin th)))) (+ (* 7/360 (/ kx (sin th))) (* 1/12 (/ 1 (* kx (sin th)))))))))) (/ kx (sin th))) ky)
(/ (+ (* (pow ky 2) (+ (* 1/6 (/ kx (sin th))) (+ (* 1/2 (/ 1 (* kx (sin th)))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (* kx (sin th)))) (+ (* 7/360 (/ kx (sin th))) (+ (* 1/12 (/ 1 (* kx (sin th)))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (* kx (sin th)))) (+ (* 31/15120 (/ kx (sin th))) (+ (* 7/720 (/ 1 (* kx (sin th)))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow kx 2)))) (pow kx 2)))) (* kx (sin th))))))))))))))) (/ kx (sin th))) ky)
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))))
(* (/ 1 (* th (sin ky))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(/ (+ (* 1/6 (* (/ (pow th 2) (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) th)
(/ (+ (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))) (* (pow th 2) (+ (* 7/360 (* (/ (pow th 2) (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* 1/6 (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))) th)
(/ (+ (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))) (* (pow th 2) (+ (* 1/6 (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* 31/15120 (* (/ (pow th 2) (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* 7/360 (* (/ 1 (sin ky)) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))))) th)
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
(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) (+ (* -1/8 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 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) (+ (* -1/8 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 1/16 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))
kx
(* kx (+ 1 (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))))))
(* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* 1/16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))))))
(* -1 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))))))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* 1/16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (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 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(pow kx 2)
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
(pow kx 2)
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (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))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))
(+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2)))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(* 2 (pow ky 2))
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 2))
(* ky (sqrt 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)))
(/ (sqrt 1/2) kx)
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt (/ 1 (- 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)))))
Outputs
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (pow ky 2)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 ky ky #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
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(* 1/2 (- 1 (cos (* 2 ky))))
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(+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow kx 2))
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(+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
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(+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky))))))
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(* (* ky (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
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(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))
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(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))
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(* ky (+ (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64)))))))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (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 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #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 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) (*.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 ky #s(literal -2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))))
(*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))
(*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky))))))))))))))))
(*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (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) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* ky (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))
(*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) #s(literal -1/6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))))))))))))))
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(* ky (+ (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (* (pow ky 2) (+ (* -1/2 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 4))))))) (+ (* -1/12 (* (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))))) (+ (* -1/240 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx))))))))))))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (neg (* -2 ky))))))))))
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(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
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(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 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 ky #s(literal -2 binary64)))) #s(literal 3 binary64)))) (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
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(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
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(*.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 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
th
th
th
th
th
th
th
th
th
th
th
th
(/ 1/2 (pow kx 2))
(/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))
(/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))
(/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))
(/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))
(/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))
(/ (+ 1/2 (* 1/6 (pow kx 2))) (pow kx 2))
(/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)))
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)))
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)))
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)))
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)))
(+ 1/6 (* 1/2 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)))
(/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) kx)
(/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2))))) kx)
(/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) kx)
(/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* -1/288 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (pow (sqrt 1/2) 3))) (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2)))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) kx)
(/ (+ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* -1/288 (/ (* ky (* (sin th) (sqrt 2))) (pow (sqrt 1/2) 3))) (* 1/3456 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (pow (sqrt 1/2) 5)))))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/3456 binary64) (/.f64 (*.f64 (*.f64 kx kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (*.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) kx)
(* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))
(fma.f64 ky (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/6 binary64)))))
(+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))))
(fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 1/6 binary64))))) (fma.f64 ky (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/6 binary64))))))
(+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))))
(fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 1/6 binary64))))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/6 binary64)))))))
(* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))
(fma.f64 ky (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/6 binary64)))))
(+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2))))))
(fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 1/6 binary64))))) (fma.f64 ky (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/6 binary64))))))
(+ (* -1/32 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (* (sin th) (sqrt 2))) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sin th) (* (sqrt 1/6) (sqrt 2)))))))
(fma.f64 #s(literal -1/32 binary64) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 4 binary64)) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 #s(literal 1/6 binary64))))) (fma.f64 #s(literal 1/128 binary64) (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64)))) (fma.f64 ky (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/6 binary64)))))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* th (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(* th (+ (* -1/6 (* (/ (* ky (* (pow th 2) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(* th (+ (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/6 (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* 1/120 (* (/ (* ky (* (pow th 2) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx)))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx)))
(* th (+ (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/6 (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* ky (* (pow th 2) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))) (* 1/120 (* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx)) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx)))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(* (/ (* ky (* (sin th) (sqrt 2))) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(/ (* ky (* (sqrt 1/2) (sqrt 2))) kx)
(/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (sqrt 2))) (sqrt 1/2))) (* ky (* (sqrt 1/2) (sqrt 2)))) kx)
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(/ (+ (* ky (* (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/288 (/ (* (pow kx 2) (* ky (sqrt 2))) (pow (sqrt 1/2) 3))) (* 1/12 (/ (* ky (sqrt 2)) (sqrt 1/2)))))) kx)
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(/ (+ (* ky (* (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* 1/12 (/ (* ky (sqrt 2)) (sqrt 1/2))) (* (pow kx 2) (+ (* -1/288 (/ (* ky (sqrt 2)) (pow (sqrt 1/2) 3))) (* 1/3456 (/ (* (pow kx 2) (* ky (sqrt 2))) (pow (sqrt 1/2) 5)))))))) kx)
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(* ky (* (sqrt 1/6) (sqrt 2)))
(*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2))))
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(* ky (* (sqrt 1/6) (sqrt 2)))
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(+ (* -1/32 (/ (* ky (sqrt 2)) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2)))))
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(+ (* -1/32 (/ (* ky (sqrt 2)) (* (pow kx 4) (pow (sqrt 1/6) 3)))) (+ (* 1/128 (/ (* ky (sqrt 2)) (* (pow kx 6) (pow (sqrt 1/6) 5)))) (+ (* 1/4 (/ (* ky (sqrt 2)) (* (pow kx 2) (sqrt 1/6)))) (* ky (* (sqrt 1/6) (sqrt 2))))))
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(* (/ (* ky (sqrt 2)) kx) (sqrt (+ 1/2 (* 1/6 (pow kx 2)))))
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(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)
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(sqrt 1/6)
(sqrt.f64 #s(literal 1/6 binary64))
(+ (sqrt 1/6) (* 1/4 (/ 1 (* (pow kx 2) (sqrt 1/6)))))
(+.f64 (sqrt.f64 #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/6 binary64)))))
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(- (+ (sqrt 1/6) (+ (/ 1/4 (* (pow kx 2) (sqrt 1/6))) (* 1/128 (/ 1 (* (pow kx 6) (pow (sqrt 1/6) 5)))))) (* 1/32 (/ 1 (* (pow kx 4) (pow (sqrt 1/6) 3)))))
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(sqrt 1/6)
(sqrt.f64 #s(literal 1/6 binary64))
(+ (sqrt 1/6) (* 1/4 (/ 1 (* (pow kx 2) (sqrt 1/6)))))
(+.f64 (sqrt.f64 #s(literal 1/6 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/6 binary64)))))
(- (+ (sqrt 1/6) (/ 1/4 (* (pow kx 2) (sqrt 1/6)))) (/ 1/32 (* (pow kx 4) (pow (sqrt 1/6) 3))))
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(- (+ (sqrt 1/6) (+ (/ 1/4 (* (pow kx 2) (sqrt 1/6))) (* 1/128 (/ 1 (* (pow kx 6) (pow (sqrt 1/6) 5)))))) (* 1/32 (/ 1 (* (pow kx 4) (pow (sqrt 1/6) 3)))))
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1
#s(literal 1 binary64)
(+ 1 (* -2 (pow kx 2)))
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(+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))
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(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))
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(cos (* -2 kx))
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(cos (* -2 kx))
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(cos (* -2 kx))
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(cos (* -2 kx))
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(cos (* -2 kx))
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(cos (* -2 kx))
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(cos (* -2 kx))
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(cos (* -2 kx))
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(* (* ky (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (*.f64 ky (*.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)))))))
(* th (+ (* -1/6 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
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(* th (+ (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
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(* th (+ (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* ky (* (pow th 2) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
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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))))))
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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))))))
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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))))))
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(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -5/16 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 7))))) (* 3/8 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 3/8 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 5 binary64)))) (*.f64 (*.f64 #s(literal -5/16 binary64) (*.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 7 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)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (* (sin ky) (sin th))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (* (sin ky) (sin th)))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx)) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 (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)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow kx 6))) (* (sin ky) (sin th))))) kx)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx)) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 (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)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (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)) #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)))) (pow.f64 kx #s(literal 6 binary64))) (*.f64 (sin.f64 th) (sin.f64 ky)))) kx)
(* -1 (/ (* (sin ky) (sin th)) kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (* (sin ky) (sin th))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx)) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (* (sin ky) (sin th)))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx)) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 (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)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 kx))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (pow kx 2))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow kx 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (+ 1/2 (* -1/2 (cos (* 2 ky)))) (+ (* -1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)) (* 1/4 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))))) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (pow kx 6))) (* (sin ky) (sin th))))) kx))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (*.f64 kx kx)) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 (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)) #s(literal -3/4 binary64))) (pow.f64 kx #s(literal 4 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (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)) #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)))) (pow.f64 kx #s(literal 6 binary64))) (*.f64 (sin.f64 th) (sin.f64 ky)))) (neg.f64 kx))
(/ (* ky (sin th)) kx)
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow kx 3))) (* -1/6 (/ (sin th) kx)))) (/ (sin th) kx)))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))) (/.f64 (sin.f64 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)))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 th)) kx))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))) (/.f64 (sin.f64 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)))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx (sin.f64 th)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64)))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 kx #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 kx #s(literal 8 binary64))))) (/.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 4 binary64))))) (fma.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 kx (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 kx #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 kx #s(literal 6 binary64))))) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (*.f64 kx (*.f64 kx kx))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) kx)))) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))) (/.f64 (sin.f64 th) kx)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))))))))
(*.f64 th (fma.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))))))))))
(*.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) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (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))) (fma.f64 kx kx #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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
(*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))))
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(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
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(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
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(* (/ 1 (* (sin ky) (sin th))) (sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2)))))
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(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))
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(+ (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) (+ (* -1/8 (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (* 1/16 (* (pow kx 2) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 5))))))))))
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kx
(* kx (+ 1 (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))))
(fma.f64 kx (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (*.f64 kx kx)) kx)
(* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))))))
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(* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* 1/16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))))))
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(* -1 kx)
(neg.f64 kx)
(* -1 (* kx (+ 1 (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)) (*.f64 kx kx)) #s(literal 1 binary64)) (neg.f64 kx))
(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2)))))))
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(* -1 (* kx (+ 1 (+ (* -1/8 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2) (pow kx 4))) (+ (* 1/16 (/ (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3) (pow kx 6))) (* 1/2 (/ (+ 1/2 (* -1/2 (cos (* 2 ky)))) (pow kx 2))))))))
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kx
(+ kx (* 1/2 (/ (pow ky 2) kx)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) 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 (*.f64 ky ky) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)))) 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 (*.f64 ky ky) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)) (*.f64 kx kx)))) kx) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 kx kx)) #s(literal -1/6 binary64)) kx)) (/.f64 #s(literal 1/2 binary64) kx)) kx)
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (pow kx 2))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (pow kx 2))))
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(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (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)))
(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)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
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(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
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(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
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(* (pow kx 2) (+ 1 (+ (* -1/2 (/ (cos (* 2 ky)) (pow kx 2))) (* 1/2 (/ 1 (pow kx 2))))))
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))
(pow kx 2)
(*.f64 kx kx)
(+ (pow kx 2) (pow ky 2))
(fma.f64 kx kx (*.f64 ky ky))
(+ (* (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))
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(+ 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)))
(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)))
(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)))
(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 (neg (* -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 (neg (* -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 (neg (* -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 (neg (* -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)))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
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(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(*.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)))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 kx))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (neg (* -2 kx)))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))
(* 2 (pow ky 2))
(*.f64 #s(literal 2 binary64) (*.f64 ky ky))
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
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(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))
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(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))
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(- 1 (cos (* 2 ky)))
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(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))
(- 1 (cos (* 2 ky)))
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(- 1 (cos (neg (* -2 ky))))
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(- 1 (cos (neg (* -2 ky))))
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(- 1 (cos (neg (* -2 ky))))
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(sqrt (+ 1/2 (* -1/2 (cos (* 2 kx)))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 kx))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 kx)))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))
(fma.f64 (*.f64 kx kx) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 kx))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 kx)))) (* 1/2 (- 1 (cos (* 2 ky)))))))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* ky (sqrt 2))
(*.f64 ky (sqrt.f64 #s(literal 2 binary64)))
(* 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)))
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(- 1 (cos (* -2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
(/ (sqrt 1/2) kx)
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) #s(literal 7/360 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx)
(/ (+ (sqrt 1/2) (* (pow kx 2) (+ (* (pow kx 2) (+ (* 1/2 (/ (* (pow kx 2) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (sqrt 1/2))))) (* 1/12 (/ 1 (sqrt 1/2)))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) #s(literal 31/15120 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 7/720 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx)
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
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(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
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(sqrt (/ 1 (- 1 (cos (* -2 kx)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(pow ky 2)
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(* (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))))
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(* (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))
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(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
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(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
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(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))

eval156.0ms (1%)

Memory
9.6MiB live, 208.6MiB allocated
Compiler

Compiled 22 640 to 2 299 computations (89.8% saved)

prune286.0ms (1.8%)

Memory
-0.4MiB live, 319.6MiB allocated
Pruning

101 alts after pruning (97 fresh and 4 done)

PrunedKeptTotal
New80137838
Fresh186078
Picked415
Done033
Total823101924
Accuracy
100.0%
Counts
924 → 101
Alt Table
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StatusAccuracyProgram
19.6%
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
5.6%
(fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))))
78.7%
(/.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)))
8.9%
(/.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))))
19.1%
(/.f64 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
10.3%
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th)) (*.f64 kx (*.f64 kx kx)))
19.8%
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
78.7%
(/.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)))))))
40.6%
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
30.5%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
21.6%
(/.f64 (*.f64 ky (sin.f64 th)) kx)
32.3%
(/.f64 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 ky)))
✓78.8%
(/.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)))
32.3%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)))
25.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
21.3%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
32.9%
(/.f64 #s(literal 1 binary64) (/.f64 (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 th) (sin.f64 ky))))
33.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 kx kx) (*.f64 kx (*.f64 kx (*.f64 kx kx))) (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #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 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 kx kx)) (*.f64 kx (*.f64 kx (*.f64 kx kx))))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
26.8%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
22.8%
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
21.6%
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
46.3%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
5.6%
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
16.6%
(*.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))
22.1%
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
19.4%
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
20.4%
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
27.7%
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
78.5%
(*.f64 (/.f64 (sin.f64 ky) (pow.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))) (sin.f64 th))
✓99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
57.1%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
33.1%
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
40.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓78.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
39.1%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (sin.f64 th))
46.5%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th))
38.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 th))
27.5%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
27.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 th))
32.3%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
73.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 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 ky #s(literal -2 binary64))))))) (sin.f64 th))
33.9%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
13.9%
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
23.3%
(*.f64 (/.f64 (sin.f64 ky) kx) (sin.f64 th))
31.0%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
22.1%
(*.f64 (/.f64 ky kx) (sin.f64 th))
46.4%
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
15.4%
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
27.7%
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
20.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
27.6%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
13.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
78.7%
(*.f64 (*.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))))))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
15.7%
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
13.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
10.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
32.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
78.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
40.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
34.0%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
34.1%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
23.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
23.3%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64))))
27.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
34.5%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
17.8%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
19.9%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
11.6%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
19.9%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
20.4%
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
27.5%
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (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)))))))
32.9%
(*.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)))))
78.6%
(*.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))))))))
9.3%
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
17.9%
(*.f64 (*.f64 th (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))))
28.9%
(*.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))))))
40.6%
(*.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))))))
22.7%
(*.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)))) (*.f64 ky ky)))))
21.3%
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
17.8%
(*.f64 (*.f64 ky (*.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)))))))
27.7%
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
15.7%
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
27.6%
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
16.5%
(*.f64 (*.f64 ky th) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
11.3%
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
11.2%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
46.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
13.9%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) ky))
23.3%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
19.5%
(*.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)))
19.6%
(*.f64 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
19.6%
(*.f64 th (fma.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal 1 binary64)))
11.2%
(*.f64 th (*.f64 (*.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th)))))
11.6%
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
11.6%
(*.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)))
10.5%
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (sin.f64 th)) (*.f64 kx (*.f64 kx kx))))
31.0%
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
11.6%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
✓30.9%
(sin.f64 th)
19.7%
th
Compiler

Compiled 4 860 to 2 040 computations (58% saved)

regimes472.0ms (3%)

Memory
1.5MiB live, 359.1MiB allocated
Counts
146 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (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 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 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (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 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 kx kx (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 (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 (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 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (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 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (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 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 ky)))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (fma.f64 kx kx (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 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 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 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (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) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (sin.f64 ky)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.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))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(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))
(*.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (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))))) (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))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (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 (*.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))))))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(*.f64 (*.f64 ky th) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
(/.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) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
(*.f64 (*.f64 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)))) (sin.f64 th))
(*.f64 ky (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (*.f64 (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (pow.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))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (fma.f64 (*.f64 kx kx) (*.f64 kx (*.f64 kx (*.f64 kx kx))) (pow.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #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 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 kx kx)) (*.f64 kx (*.f64 kx (*.f64 kx kx))))))) (*.f64 (sin.f64 ky) (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))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 ky ky) (*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) #s(literal 2 binary64))) ky) (-.f64 (*.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 ky) (*.f64 (*.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64))))))
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)
59.0ms
kx
57.0ms
(sin.f64 kx)
55.0ms
(sin.f64 ky)
55.0ms
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)

regimes453.0ms (2.9%)

Memory
23.9MiB live, 451.7MiB allocated
Counts
133 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
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(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
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(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(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))
(*.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (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))))) (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))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (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 (*.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))))))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(*.f64 (*.f64 ky th) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
(/.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)))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
Calls

9 calls:

58.0ms
(sin.f64 kx)
56.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
55.0ms
(sin.f64 ky)
55.0ms
(*.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))
53.0ms
(sin.f64 th)
Results
AccuracySegmentsBranch
99.5%2kx
99.2%2ky
89.9%2th
89.1%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))
99.4%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)))))
99.2%3(sin.f64 ky)
99.5%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.5%3(sin.f64 kx)
89.9%3(sin.f64 th)
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes107.0ms (0.7%)

Memory
-30.0MiB live, 173.0MiB allocated
Counts
129 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (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 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 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (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 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 kx kx (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 (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 (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 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (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 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (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 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 ky)))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (fma.f64 kx kx (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 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 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 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (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) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (sin.f64 ky)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.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))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(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))
(*.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 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (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))))) (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))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
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 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
Calls

2 calls:

60.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
37.0ms
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)

regimes431.0ms (2.8%)

Memory
3.9MiB live, 609.6MiB allocated
Counts
121 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (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 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 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (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 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 kx kx (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 (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 (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 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (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 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (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 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 ky)))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (fma.f64 kx kx (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 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 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 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (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) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (sin.f64 ky)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.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))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(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))
(*.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 (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))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
Calls

9 calls:

87.0ms
(sin.f64 th)
63.0ms
(sin.f64 ky)
46.0ms
(sin.f64 kx)
42.0ms
(*.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))
40.0ms
kx
Results
AccuracySegmentsBranch
73.6%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))
79.1%4(sin.f64 th)
76.8%2th
85.9%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
79.1%3(sin.f64 ky)
79.1%3(sin.f64 kx)
78.8%2ky
79.0%2kx
79.0%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes40.0ms (0.3%)

Memory
28.7MiB live, 102.5MiB allocated
Counts
119 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (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 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 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (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 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 kx kx (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 (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 (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 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (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 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (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 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 ky)))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (fma.f64 kx kx (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 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 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 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (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) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (sin.f64 ky)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.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))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(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))
(*.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))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (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 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
Calls

1 calls:

34.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
85.8%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes72.0ms (0.5%)

Memory
-27.6MiB live, 175.7MiB allocated
Counts
117 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (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 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 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (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 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 kx kx (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 (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 (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 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (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 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (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 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 ky)))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (fma.f64 kx kx (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 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 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 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (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) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (sin.f64 ky)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.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))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(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))
(*.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))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
Calls

2 calls:

31.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
31.0ms
(/.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
79.0%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
79.1%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 23 to 17 computations (26.1% saved)

regimes277.0ms (1.8%)

Memory
36.2MiB live, 665.3MiB allocated
Counts
114 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (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 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 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (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 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 kx kx (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 (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 (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 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (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 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (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 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 ky)))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (fma.f64 kx kx (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 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 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 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (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) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (sin.f64 ky)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.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))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal -2 binary64))) (*.f64 kx kx)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) #s(literal 1 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
Outputs
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
Calls

8 calls:

37.0ms
(sin.f64 kx)
36.0ms
th
35.0ms
kx
33.0ms
(/.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)))))
33.0ms
(sin.f64 th)
Results
AccuracySegmentsBranch
78.7%7(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
64.8%4(sin.f64 th)
62.1%2th
71.3%4(sin.f64 ky)
72.7%4(sin.f64 kx)
71.0%3ky
72.6%3kx
72.5%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 50 to 38 computations (24% saved)

regimes112.0ms (0.7%)

Memory
-29.6MiB live, 167.8MiB allocated
Counts
111 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
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(/.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 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (sin.f64 ky)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th))
(/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
Outputs
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
Calls

2 calls:

74.0ms
kx
31.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
72.5%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
72.5%3kx
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes156.0ms (1%)

Memory
5.1MiB live, 213.9MiB allocated
Counts
107 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (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 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 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (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 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 kx kx (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 (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 (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 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (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 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (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 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 ky)))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (fma.f64 kx kx (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 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 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 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)))))) (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) (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64))))) (sin.f64 ky)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
Outputs
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
Calls

3 calls:

88.0ms
kx
32.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
30.0ms
(/.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
78.5%7(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
72.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
72.3%3kx
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes89.0ms (0.6%)

Memory
15.2MiB live, 176.0MiB allocated
Counts
101 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (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 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 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (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 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 kx kx (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 (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 (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 ky ky)))) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (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 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (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 (sin.f64 th) (/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 ky)))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) (sqrt.f64 (fma.f64 kx kx (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 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) #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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
Calls

3 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)))))
28.0ms
kx
27.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
72.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
78.3%7(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
72.3%3kx
Compiler

Compiled 27 to 20 computations (25.9% saved)

regimes67.0ms (0.4%)

Memory
-14.1MiB live, 64.1MiB allocated
Counts
92 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (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 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 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (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 (/.f64 #s(literal 1 binary64) (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)) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th)))
Outputs
(sin.f64 th)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
Calls

2 calls:

37.0ms
kx
25.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
72.2%3kx
72.2%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes155.0ms (1%)

Memory
17.1MiB live, 209.9MiB allocated
Counts
83 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))))))) (sin.f64 th))
Outputs
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) 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 ky #s(literal -2 binary64))))))) (sin.f64 th))
Calls

6 calls:

28.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
26.0ms
(sin.f64 kx)
25.0ms
(*.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))
25.0ms
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
70.9%3ky
65.2%4(sin.f64 kx)
54.1%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))
71.5%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)))))
65.1%4kx
65.1%4(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 55 to 40 computations (27.3% saved)

regimes232.0ms (1.5%)

Memory
-33.3MiB live, 336.3MiB allocated
Counts
82 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
Outputs
(*.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 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(sin.f64 th)
Calls

8 calls:

42.0ms
kx
32.0ms
(/.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)))))
24.0ms
(sin.f64 ky)
24.0ms
ky
24.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
43.4%3(sin.f64 th)
60.3%3kx
60.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
60.4%3(sin.f64 kx)
44.0%3th
64.2%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
60.6%3(sin.f64 ky)
59.1%3ky
Compiler

Compiled 50 to 38 computations (24% saved)

regimes27.0ms (0.2%)

Memory
5.8MiB live, 43.4MiB allocated
Counts
81 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.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))))))
Outputs
(*.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 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(sin.f64 th)
Calls

1 calls:

21.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
64.1%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes29.0ms (0.2%)

Memory
3.1MiB live, 44.0MiB allocated
Counts
80 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(sin.f64 th)
Calls

1 calls:

24.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
64.1%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes50.0ms (0.3%)

Memory
10.5MiB live, 85.5MiB allocated
Counts
79 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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 (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))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(sin.f64 th)
Calls

2 calls:

23.0ms
(sin.f64 ky)
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)))))
Results
AccuracySegmentsBranch
60.6%3(sin.f64 ky)
61.6%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)

regimes36.0ms (0.2%)

Memory
4.0MiB live, 40.9MiB allocated
Counts
77 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(/.f64 (fma.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/4 binary64) (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky (*.f64 ky ky))) (sin.f64 th))) (*.f64 kx (*.f64 kx kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 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))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) ky)) (sin.f64 th))
(sin.f64 th)
Calls

1 calls:

32.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
62.0%4(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes43.0ms (0.3%)

Memory
0.6MiB live, 45.1MiB allocated
Counts
73 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 kx kx (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 ky)) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) th))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th))
(sin.f64 th)
Calls

1 calls:

38.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
62.0%4(sin.f64 ky)
Compiler

Compiled 5 to 4 computations (20% saved)

regimes129.0ms (0.8%)

Memory
14.6MiB live, 255.4MiB allocated
Counts
70 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(sin.f64 th)
Calls

6 calls:

26.0ms
kx
21.0ms
(sin.f64 kx)
20.0ms
ky
20.0ms
(sin.f64 ky)
19.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
53.2%3ky
60.5%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)))))
55.9%3kx
55.9%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
56.0%3(sin.f64 kx)
56.1%4(sin.f64 ky)
Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes26.0ms (0.2%)

Memory
-27.7MiB live, 49.7MiB 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) ky)
(*.f64 (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (*.f64 ky ky)))))
(*.f64 (*.f64 (sin.f64 th) (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))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
Outputs
(*.f64 (*.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))) (fma.f64 kx kx #s(literal 1/2 binary64))))))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(sin.f64 th)
Calls

1 calls:

19.0ms
(/.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
60.5%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)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes21.0ms (0.1%)

Memory
4.9MiB live, 42.6MiB allocated
Counts
60 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 th))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 ky (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 th))
Outputs
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(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
57.5%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)

regimes19.0ms (0.1%)

Memory
2.6MiB live, 40.6MiB allocated
Counts
57 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.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) kx))
(*.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 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) ky) (sin.f64 ky)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 ky ky))) (sin.f64 ky)) (sin.f64 th))
(*.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

1 calls:

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
55.6%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)

regimes98.0ms (0.6%)

Memory
28.8MiB live, 223.9MiB allocated
Counts
44 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal 1/189 binary64) #s(literal 1/30 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/144 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))
(sin.f64 th)
Calls

7 calls:

16.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
15.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
13.0ms
kx
13.0ms
(sin.f64 ky)
13.0ms
(*.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
44.2%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))
43.7%2ky
43.6%2(sin.f64 ky)
46.0%3kx
46.0%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
46.3%4(sin.f64 kx)
48.1%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes16.0ms (0.1%)

Memory
-8.1MiB live, 33.2MiB allocated
Counts
41 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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 th (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))))
(*.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) kx) (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 th) (*.f64 ky (/.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (fabs.f64 kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (fabs.f64 kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th))
(*.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 (*.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)))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 kx) (sqrt.f64 (fma.f64 kx (*.f64 kx #s(literal 1/6 binary64)) #s(literal 1/2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))
(sin.f64 th)
Calls

1 calls:

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
47.9%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)

regimes11.0ms (0.1%)

Memory
-13.4MiB live, 25.4MiB allocated
Counts
31 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 ky (*.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)))))))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))))
(sin.f64 th)
Calls

1 calls:

10.0ms
(/.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
47.9%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)

regimes10.0ms (0.1%)

Memory
25.5MiB live, 25.5MiB allocated
Counts
29 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
Outputs
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(sin.f64 th)
Calls

1 calls:

8.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
46.3%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 16 to 11 computations (31.3% saved)

regimes11.0ms (0.1%)

Memory
-21.7MiB live, 17.1MiB allocated
Counts
28 → 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(/.f64 #s(literal 1 binary64) (/.f64 kx (*.f64 ky (sin.f64 th))))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/6 binary64))))
(*.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/6 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 th))
(*.f64 ky (/.f64 (*.f64 (*.f64 (*.f64 ky ky) #s(literal -1/2 binary64)) (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 th) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 ky kx))
(*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (*.f64 (*.f64 ky (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) kx) (sin.f64 th))
Outputs
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(sin.f64 th)
Calls

1 calls:

9.0ms
(/.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
46.3%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 16 to 11 computations (31.3% saved)

regimes7.0ms (0%)

Memory
7.8MiB live, 7.8MiB 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky kx) (sin.f64 th))
Outputs
(*.f64 (/.f64 ky kx) (sin.f64 th))
(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
46.2%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 16 to 11 computations (31.3% saved)

regimes64.0ms (0.4%)

Memory
14.9MiB live, 53.3MiB 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
(sin.f64 th)
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sin.f64 th))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(sin.f64 th)
Calls

9 calls:

17.0ms
ky
6.0ms
(sin.f64 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))
6.0ms
(sin.f64 kx)
6.0ms
th
Results
AccuracySegmentsBranch
38.8%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))
30.9%1(sin.f64 th)
30.9%1th
33.6%2(sin.f64 kx)
35.8%2(sin.f64 ky)
36.0%2ky
33.3%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
33.3%2kx
38.8%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 69 to 51 computations (26.1% saved)

regimes65.0ms (0.4%)

Memory
-8.5MiB live, 84.0MiB 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 th (fma.f64 (*.f64 th #s(literal -1/6 binary64)) th #s(literal 1 binary64)))
(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 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 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) th) (fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (/.f64 (*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64)) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(/.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)))))))
(*.f64 th (*.f64 (sqrt.f64 (fma.f64 (*.f64 kx kx) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 ky (*.f64 th th)) (sqrt.f64 #s(literal 2 binary64))) kx) (/.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) kx))))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
th
Calls

9 calls:

21.0ms
(*.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
(sin.f64 ky)
5.0ms
(sin.f64 kx)
5.0ms
ky
Results
AccuracySegmentsBranch
19.7%1th
19.7%1(sin.f64 th)
24.0%2kx
24.0%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
23.2%2(sin.f64 kx)
25.0%2(sin.f64 ky)
25.3%2ky
28.2%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))
27.7%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)

regimes13.0ms (0.1%)

Memory
-7.9MiB live, 30.3MiB 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

7 calls:

3.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
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
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
2.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
19.7%1(sin.f64 kx)
19.7%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
19.7%1kx
19.7%1(sin.f64 ky)
19.7%1ky
19.7%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)))))
19.7%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 60 to 44 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.199726716280483e-25
4.0804542512718454e-10
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
6.199726716280483e-25
4.0804542512718454e-10
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.9991156854772065
1.0
0.0ms
0.15483880451073442
0.20299341943929544
0.0ms
-0.1734285758285922
1.3877431547171735e-292
0.0ms
-0.9984815175148121
-0.96288118404646
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
0.9991156854772065
1.0
0.0ms
0.0008540618790002787
0.022416243519299665
0.0ms
-0.1734285758285922
1.3877431547171735e-292
0.0ms
-0.9984815175148121
-0.96288118404646
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch2.0ms (0%)

Memory
-35.7MiB live, 2.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
8.295928646777067e-10
5.515475755919268e-8
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch52.0ms (0.3%)

Memory
30.9MiB live, 69.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
0.03944100028945154
263.78197238443636
27.0ms
1.3557685897717046e-167
9.666114896823299e-162
Samples
36.0ms272×0valid
Compiler

Compiled 891 to 582 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sin: 14.0ms (48% of total)
ival-add: 5.0ms (17.1% of total)
ival-pow2: 5.0ms (17.1% of total)
ival-div: 2.0ms (6.9% of total)
ival-mult: 2.0ms (6.9% of total)
ival-sqrt: 2.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.3%)

Memory
-1.0MiB live, 113.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.03944100028945154
263.78197238443636
27.0ms
1.3557685897717046e-167
9.666114896823299e-162
Samples
37.0ms272×0valid
Compiler

Compiled 806 to 548 computations (32% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 17.0ms (57.6% of total)
ival-pow2: 5.0ms (16.9% of total)
ival-div: 2.0ms (6.8% of total)
ival-mult: 2.0ms (6.8% of total)
ival-sqrt: 2.0ms (6.8% of total)
ival-add: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch53.0ms (0.3%)

Memory
13.7MiB live, 93.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.03944100028945154
263.78197238443636
27.0ms
1.3557685897717046e-167
9.666114896823299e-162
Samples
38.0ms272×0valid
Compiler

Compiled 721 to 514 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 18.0ms (58.8% of total)
ival-pow2: 5.0ms (16.3% of total)
ival-sqrt: 3.0ms (9.8% of total)
ival-div: 2.0ms (6.5% of total)
ival-mult: 2.0ms (6.5% of total)
ival-add: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
-36.4MiB live, 2.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.295928646777067e-10
5.515475755919268e-8
0.0ms
0.0
9.4e-323
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.295928646777067e-10
5.515475755919268e-8
0.0ms
0.0
9.4e-323
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch35.0ms (0.2%)

Memory
29.3MiB live, 68.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
0.00022433232721172526
0.002865333716893705
15.0ms
4.044437461218843e-152
4.067442292654532e-151
Samples
24.0ms192×0valid
Compiler

Compiled 622 to 414 computations (33.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 11.0ms (58.8% 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
2.4MiB live, 2.4MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.0002248002836539159
0.0008540618790002787
0.0ms
4.713962564094372e-60
6.619054353018141e-58
0.0ms
5.4008496025416e-263
1.487197785763787e-259
0.0ms
-1.0
-0.9999999981688672
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.0002248002836539159
0.0008540618790002787
0.0ms
4.713962564094372e-60
6.619054353018141e-58
0.0ms
5.4008496025416e-263
1.487197785763787e-259
0.0ms
-1.0
-0.9999999981688672
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.0002248002836539159
0.0008540618790002787
0.0ms
4.713962564094372e-60
6.619054353018141e-58
0.0ms
5.4008496025416e-263
1.487197785763787e-259
0.0ms
-1.0
-0.9999999981688672
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch3.0ms (0%)

Memory
-41.5MiB live, 1.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.00022433232533013815
0.0028653297960981056
0.0ms
4.044437461218843e-152
4.067442292654532e-151
Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.00022433232533013815
0.0028653297960981056
0.0ms
4.044437461218843e-152
4.067442292654532e-151
0.0ms
-0.0029324330887751378
5.627417741359416e-304
Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.00022433232533013815
0.0028653297960981056
0.0ms
4.044437461218843e-152
4.067442292654532e-151
0.0ms
-0.0029324330887751378
5.627417741359416e-304
Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.0002248002836539159
0.0008540618790002787
0.0ms
4.713962564094372e-60
6.619054353018141e-58
0.0ms
-0.4375974525126778
-0.40689506535960923
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
0.0002248002836539159
0.0008540618790002787
0.0ms
4.713962564094372e-60
6.619054353018141e-58
0.0ms
-0.4375974525126778
-0.40689506535960923
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0002248002836539159
0.0008540618790002787
0.0ms
4.713962564094372e-60
6.619054353018141e-58
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0008540618790002787
0.022416243519299665
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0185369194801546e-10
0.0002248002836539159
0.0ms
4.713962564094372e-60
6.619054353018141e-58
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0185369194801546e-10
0.0002248002836539159
0.0ms
4.713962564094372e-60
6.619054353018141e-58
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0185369194801546e-10
0.0002248002836539159
0.0ms
4.713962564094372e-60
6.619054353018141e-58
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
0.0008540618790002787
0.022416243519299665
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
0.0008540618790002787
0.022416243519299665
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
0.0008540618790002787
0.022416243519299665
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
5.952316256458324e-77
8.738090873630628e-77
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
2.3282008104651713e-305
2.912136630907306e-302
Compiler

Compiled 22 to 19 computations (13.6% saved)

simplify30.0ms (0.2%)

Memory
4.1MiB live, 42.2MiB allocated
Algorithm
1×egg-herbie
Rules
112×*-commutative_binary64
22×+-commutative_binary64
16×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02721951
13371951
23491951
33571951
43611951
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 5444517870735015/5444517870735015415413993718908291383296 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 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 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 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 -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4499617028815165/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.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 -2206763817411543/2251799813685248 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 -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 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)) (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 4499617028815165/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th))))))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)))
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(if (<=.f64 kx #s(literal 7391324607069269/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 2116691824864133/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))))
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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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7737125245533627/38685626227668133590597632 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 th (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (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 1152921504606847/1152921504606846976 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) 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 1152921504606847/1152921504606846976 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 7822218149124427/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (sin.f64 th))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) #s(literal 7906338019816821/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616 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 5444517870735015/5444517870735015415413993718908291383296 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx))) (/.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))))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 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 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 5444517870735015/5444517870735015415413993718908291383296 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 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #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 -2206763817411543/2251799813685248 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 -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4499617028815165/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.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 -2206763817411543/2251799813685248 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 -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 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 4499617028815165/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) 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 -2206763817411543/2251799813685248 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 -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 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)) (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 4499617028815165/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.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 -2206763817411543/2251799813685248 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 -3602879701896397/36028797018963968 binary64)) (/.f64 (*.f64 th (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (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)))) (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 4499617028815165/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)))))))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4835703278458517/4835703278458516698824704 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) kx)) (sin.f64 th)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th)))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 4835703278458517/4835703278458516698824704 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 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))))
(if (<=.f64 kx #s(literal 4943758783237121/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 1/2 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.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)))))) (sin.f64 th)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))))
(if (<=.f64 kx #s(literal 4943758783237121/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (sin.f64 th) (if (<=.f64 kx #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 ky ky))) #s(literal 1/2 binary64) (*.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))))))) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))))
(if (<=.f64 kx #s(literal 7391324607069269/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 2116691824864133/4503599627370496 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64)))))) (sin.f64 th)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))))
(if (<=.f64 kx #s(literal 7391324607069269/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 2116691824864133/4503599627370496 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #s(literal -1/3 binary64)) #s(literal 1 binary64))))))) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))))
(if (<=.f64 kx #s(literal 2385971452106571/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 3242591731706757/36028797018963968 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)))))) (sin.f64 th)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))))
(if (<=.f64 kx #s(literal 2385971452106571/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) (sin.f64 th) (if (<=.f64 kx #s(literal 3242591731706757/36028797018963968 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64))))))) (*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))))
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(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky)))) (if (<=.f64 (sin.f64 ky) #s(literal 2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)) (sin.f64 th)) (sin.f64 th))))
(if (<=.f64 (sin.f64 ky) #s(literal -1152921504606847/576460752303423488 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) th))) (if (<=.f64 (sin.f64 ky) #s(literal 2948408144391829/58968162887836583628774290327941701420576894069006881693378223441337877537377325813845730080900918242835443359855685076558915384842574884883772410178635875682021801984 binary64)) (*.f64 ky (/.f64 (sin.f64 th) (sin.f64 kx))) (if (<=.f64 (sin.f64 ky) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky))) (sin.f64 th))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -7566047373982433/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 th (sin.f64 ky)))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 -7566047373982433/18014398509481984 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) 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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 -7566047373982433/18014398509481984 binary64)) (*.f64 (*.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))) (fma.f64 kx kx #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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 -7566047373982433/18014398509481984 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) (fma.f64 kx kx #s(literal 1/2 binary64)))))) (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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7378697629483821/18446744073709551616 binary64)) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 kx #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 1152921504606847/1152921504606846976 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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 (sin.f64 th) (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (*.f64 th (sqrt.f64 (/.f64 #s(literal 1 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 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7737125245533627/38685626227668133590597632 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 th (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 565391060729083/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (*.f64 (sin.f64 th) (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7737125245533627/38685626227668133590597632 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 th (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (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 1152921504606847/1152921504606846976 binary64)) (*.f64 (sin.f64 th) (*.f64 (*.f64 ky (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 kx kx))))) (sin.f64 th))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1152921504606847/1152921504606846976 binary64)) (/.f64 (*.f64 ky (sin.f64 th)) 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 1152921504606847/1152921504606846976 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 1152921504606847/1152921504606846976 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 7822218149124427/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (sin.f64 th))
(if (<=.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) #s(literal 7906338019816821/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616 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 7906338019816821/197658450495420525734858737030192682665582665785295037457911482448662440984370455949180062208434691889831130726871886632216610095103313942252942773379627451095231859645084337269987214591887906583241960623508540106017585433031926463494241558251132379239072320812850360890950600210186037629088210457662115491511433340911616 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) th)
th

soundness2.1s (13.4%)

Memory
63.7MiB live, 2 127.9MiB allocated
Rules
14 278×lower-fma.f64
14 278×lower-fma.f32
9 534×lower-fma.f64
9 534×lower-fma.f32
8 234×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116413507
1392313167
2736113167
0804812232
042274
081278
1303245
02500229
046309
087305
1320295
02283295
0100711467
1323610828
2785610828
0822810174
03172263
110112214
238602122
378032122
081061974
01349
02249
16249
233849
3290249
0828434
0109911786
1352011248
0824410427
043264
081262
1286252
02091252
Stop Event
1×fuel
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
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 4 551 to 1 994 computations (56.2% saved)

preprocess478.0ms (3.1%)

Memory
-97.0MiB live, 471.9MiB allocated
Remove

(negabs ky)

(negabs th)

(abs kx)

Compiler

Compiled 4 030 to 624 computations (84.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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