Toniolo and Linder, Equation (3b), real

Time bar (total: 11.8s)

analyze178.0ms (1.5%)

Memory
25.9MiB live, 382.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
43.8%43.7%56.2%0.1%0%0%0%7
53.1%53%46.8%0.1%0%0%0%8
60.9%60.8%39%0.1%0%0%0%9
60.9%60.8%39%0.1%0%0%0%10
64.8%64.7%35.1%0.1%0%0%0%11
68.4%68.3%31.6%0.1%0%0%0%12
Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.6s (13.9%)

Memory
21.0MiB live, 2 864.2MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sin: 591.0ms (57.2% of total)
ival-pow2: 187.0ms (18.1% of total)
ival-sqrt: 68.0ms (6.6% of total)
ival-add: 66.0ms (6.4% of total)
ival-mult: 59.0ms (5.7% of total)
ival-div: 52.0ms (5% of total)
ival-true: 6.0ms (0.6% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess76.0ms (0.6%)

Memory
19.1MiB live, 57.7MiB allocated
Algorithm
1×egg-herbie
Rules
390×unsub-neg
362×times-frac
340×associate-*l*
334×associate-*r*
280×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

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

(abs kx)

(negabs th)

(negabs ky)

explain193.0ms (1.6%)

Memory
12.5MiB live, 326.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-3(1.2206803758810988e-243 1.837248579153422e-160 6.263849570118033e+281)(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
00-0-(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
00-0-(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
00-0-(sin.f64 kx)
00-0-(sin.f64 th)
00-0-(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
00-0-(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
00-0-th
00-0-#s(literal 2 binary64)
00-0-(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
00-0-(sin.f64 ky)
00-0-ky
00-0-kx
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))uflow-rescue140
↳(pow.f64 (sin.f64 kx) #s(literal 2 binary64))underflow57
↳(pow.f64 (sin.f64 ky) #s(literal 2 binary64))underflow61
↳(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))underflow14
Confusion
Predicted +Predicted -
+143
-0239
Precision
1.0
Recall
0.8235294117647058
Confusion?
Predicted +Predicted MaybePredicted -
+1403
-00239
Precision?
1.0
Recall?
0.8235294117647058
Freqs
test
numberfreq
0242
114
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
81.0ms512×0valid
Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-sin: 38.0ms (61.8% of total)
ival-pow2: 10.0ms (16.3% of total)
ival-sqrt: 4.0ms (6.5% of total)
ival-div: 3.0ms (4.9% of total)
ival-mult: 3.0ms (4.9% of total)
ival-add: 2.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶93.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize63.0ms (0.5%)

Memory
-28.8MiB live, 96.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
✓accuracy99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy94.2%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
Samples
40.0ms256×0valid
Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 17.0ms (56.4% of total)
ival-pow2: 7.0ms (23.2% of total)
ival-div: 2.0ms (6.6% of total)
ival-mult: 2.0ms (6.6% of total)
ival-sqrt: 2.0ms (6.6% of total)
ival-add: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
1.3MiB live, 37.4MiB allocated
Counts
4 → 84
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 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
#<alt (pow.f64 (sin.f64 kx) #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))>
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 (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (/ (* 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)))))>
Calls

21 calls:

TimeVariablePointExpression
5.0ms
th
@inf
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
2.0ms
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))
1.0ms
ky
@inf
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
1.0ms
kx
@inf
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))

rewrite282.0ms (2.4%)

Memory
19.7MiB live, 446.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 346×lower-fma.f64
4 346×lower-fma.f32
3 626×lower-*.f32
3 624×lower-*.f64
2 248×lower-pow.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01334
02234
16234
233834
3290234
0828424
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 217
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))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (sin.f64 kx) #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))
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))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (/.f64 (neg.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)))
(neg.f64 (*.f64 (sin.f64 th) (/.f64 (neg.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)))))))))
(neg.f64 (/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(neg.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))
(/.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 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky 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)))))) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (*.f64 (sin.f64 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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.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 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1 binary64)) (*.f64 #s(literal 2 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))))))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal -1 binary64)) (*.f64 #s(literal 2 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)))))))))
(/.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (neg.f64 (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky)))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (*.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (neg.f64 (sin.f64 ky))))
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.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) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (neg.f64 (sin.f64 ky))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky 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)))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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))) (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)))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) #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)))))))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.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 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (neg.f64 (sin.f64 ky)) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th)))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(*.f64 #s(literal 1 binary64) (/.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (*.f64 (sin.f64 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))))))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
(*.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 (sin.f64 th) (neg.f64 (sin.f64 ky))) (/.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))))))))
(*.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 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) (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))) (/.f64 (sin.f64 th) (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))))
(*.f64 (/.f64 (sin.f64 th) (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))) (/.f64 (sin.f64 ky) (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))))
(*.f64 (/.f64 (sin.f64 th) #s(literal -1 binary64)) (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (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)) (pow.f64 (/.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)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #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 (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (neg.f64 (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (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 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(*.f64 (pow.f64 (/.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)) (sin.f64 ky)) #s(literal -1 binary64)) (pow.f64 (/.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)) (sin.f64 th)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.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)) (sin.f64 th)) #s(literal -1 binary64)) (pow.f64 (/.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)) (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.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 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))

simplify422.0ms (3.6%)

Memory
-2.8MiB live, 523.8MiB allocated
Algorithm
1×egg-herbie
Rules
11 882×lower-fma.f64
11 882×lower-fma.f32
6 918×lower-*.f64
6 918×lower-*.f32
5 562×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02421598
17411550
227441481
376511481
080351353
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
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)))
(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)
(/ (* 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)))))
Outputs
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx (/.f64 kx (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx (fma.f64 (fma.f64 #s(literal 1/2 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))) #s(literal 1/45 binary64)) (*.f64 kx (/.f64 kx (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 #s(literal 1/2 binary64) (/.f64 (*.f64 ky ky) (sin.f64 kx)) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 ky (*.f64 ky (fma.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 ky ky) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (fma.f64 #s(literal 1/2 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))) #s(literal 1/45 binary64)) (/.f64 (*.f64 ky ky) (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))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(*.f64 (*.f64 (fma.f64 ky (*.f64 ky #s(literal -1/3 binary64)) #s(literal 1 binary64)) ky) ky)
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(*.f64 (*.f64 ky ky) (fma.f64 ky (*.f64 ky (fma.f64 ky (*.f64 ky #s(literal 2/45 binary64)) #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 ky (*.f64 ky (fma.f64 ky (*.f64 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 (fma.f64 kx (*.f64 (*.f64 kx kx) #s(literal -1/3 binary64)) kx))
(* (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 kx (*.f64 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))
(/ (* 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) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (sin.f64 kx)))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 ky (/.f64 (*.f64 ky (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 ky ky) (*.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (*.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)))) (sin.f64 kx))) (*.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 ky (*.f64 ky (fma.f64 ky (*.f64 ky (fma.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 kx) (sin.f64 th)) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.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 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))) #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)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 th) (*.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)))) (sin.f64 kx))) (*.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 kx (/.f64 (*.f64 kx (*.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))) (* 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 (*.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))))) (/.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) (*.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 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 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 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 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))))))

eval46.0ms (0.4%)

Memory
10.4MiB live, 86.4MiB allocated
Compiler

Compiled 9 036 to 1 268 computations (86% saved)

prune67.0ms (0.6%)

Memory
4.7MiB live, 135.1MiB allocated
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New28021301
Fresh000
Picked101
Done000
Total28121302
Accuracy
100.0%
Counts
302 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.4%
(fma.f64 kx (/.f64 (*.f64 kx (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
72.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
29.7%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
72.1%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
71.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
39.7%
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
72.1%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
33.1%
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
71.8%
(*.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))
72.1%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))) (sin.f64 th))
76.3%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))
▶99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
72.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
▶48.1%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
50.5%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
▶71.9%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
44.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
49.1%
(*.f64 (sqrt.f64 (sin.f64 ky)) (*.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
▶45.3%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
▶26.6%
(sin.f64 th)
Compiler

Compiled 928 to 650 computations (30% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize362.0ms (3.1%)

Memory
-9.0MiB live, 500.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
✓accuracy93.7%
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))
✓accuracy93.2%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
✓accuracy98.0%
(*.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))))))))
✓accuracy93.2%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
✓accuracy75.9%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy74.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓accuracy99.8%
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
✓accuracy99.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
✓accuracy99.6%
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓accuracy73.2%
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))
✓accuracy100.0%
(sin.f64 th)
✓accuracy100.0%
(sin.f64 kx)
✓accuracy99.9%
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓accuracy99.7%
(/.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
148.0ms100×2valid
63.0ms81×1valid
42.0ms75×0valid
Compiler

Compiled 369 to 45 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 208.0ms
ival-cos: 43.0ms (20.7% of total)
ival-add: 42.0ms (20.2% of total)
ival-mult: 34.0ms (16.3% of total)
ival-sin: 24.0ms (11.5% of total)
adjust: 19.0ms (9.1% of total)
ival-div: 11.0ms (5.3% of total)
ival-pow2: 11.0ms (5.3% of total)
ival-sqrt: 9.0ms (4.3% of total)
ival-hypot: 7.0ms (3.4% of total)
const: 5.0ms (2.4% of total)
ival-sub: 3.0ms (1.4% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series59.0ms (0.5%)

Memory
13.2MiB live, 90.0MiB allocated
Counts
17 → 372
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 (hypot.f64 (sin.f64 ky) (sin.f64 kx))>
#<alt (sin.f64 kx)>
#<alt (sin.f64 th)>
#<alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))>
#<alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))>
#<alt (+.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 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 (*.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))))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))>
#<alt (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))>
#<alt (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))>
#<alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64))>
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 (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 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 th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt ky>
#<alt (+ ky (* 1/2 (/ (pow kx 2) ky)))>
#<alt (+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))>
#<alt (+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sqrt (+ (pow ky 2) (pow (sin kx) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt ky>
#<alt (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 ky)>
#<alt (* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))>
#<alt (* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))>
#<alt (pow kx 2)>
#<alt (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))>
#<alt (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin kx) 2)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) ky)>
#<alt (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)>
#<alt (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)>
#<alt (* -1 (/ (* (sin ky) (sin th)) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))>
#<alt (* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))>
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#<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 (/ 1 (sin kx))>
#<alt (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))>
#<alt (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 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)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ 1 (sin ky))>
#<alt (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))>
#<alt (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -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 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))>
#<alt (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))>
#<alt (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))>
#<alt (* -1/6 (* (pow th 2) (sin ky)))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* -1/6 (* (pow th 2) (sin ky)))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow th 2))))>
#<alt (* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* -1/6 (pow th 2)))))>
#<alt (* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))))))))>
#<alt (* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* 1/120 (+ 1 (* -1/6 (pow th 2)))))))))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (* (sin ky) (+ 1 (* -1/6 (pow th 2))))>
#<alt (/ 1 (pow (sin kx) 2))>
#<alt (+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (pow (sin ky) 2))>
#<alt (+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (pow ky 2)>
#<alt (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))>
#<alt (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
Calls

93 calls:

TimeVariablePointExpression
8.0ms
ky
@0
(sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky)))))))
4.0ms
kx
@0
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (* ky ky)))) (sin th))
3.0ms
kx
@0
(/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))
2.0ms
ky
@-inf
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))))
2.0ms
ky
@0
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* (- 1 (cos (+ kx kx))) 1/2) (+ 1/2 (* -1/2 (cos (+ ky ky))))))))

rewrite107.0ms (0.9%)

Memory
5.6MiB live, 128.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
986×lower-fma.f32
982×lower-fma.f64
812×lower-*.f32
796×lower-*.f64
672×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039162
075153
1267142
01995127
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
17 → 290
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)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
(sin.f64 th)
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))
(+.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)))
(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 (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))))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
Outputs
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
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(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(pow.f64 (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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 binary64))
(pow.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)))
(+.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (*.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (*.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) (*.f64 (sin.f64 ky) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)))
(+.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)) (*.f64 #s(literal 1 binary64) (sin.f64 ky)))
(fma.f64 (sin.f64 ky) #s(literal 1 binary64) (*.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(fma.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (*.f64 (sin.f64 ky) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sin.f64 ky) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (sin.f64 ky) (*.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (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))) (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 (*.f64 (sin.f64 ky) (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal -1 binary64)))
(/.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)) (sin.f64 ky)) (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 (*.f64 (fma.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 th th) (*.f64 th th)) #s(literal -1 binary64)) (sin.f64 ky)) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal -1 binary64)))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(pow.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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) (neg.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))
(-.f64 (/.f64 (cos.f64 #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky ky)) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1/4 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) (+.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 #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))
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (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) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.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 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 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)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 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)) (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 #s(literal -1/4 binary64) (cos.f64 (+.f64 ky ky))))))
(/.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 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky)))) #s(literal -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 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(/.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) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (*.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 (*.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 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (*.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)))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 kx))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (sin.f64 ky))) #s(literal 2 binary64))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (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 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(*.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))))
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))))

simplify468.0ms (4%)

Memory
0.2MiB live, 430.9MiB allocated
Algorithm
1×egg-herbie
Rules
8 088×lower-fma.f64
8 088×lower-fma.f32
6 728×lower-*.f64
6 728×lower-*.f32
6 592×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09318744
130918482
081127903
Stop Event
1×iter limit
1×node limit
Counts
372 → 368
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)))))
(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)))
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)
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
(pow 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)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) ky)
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(/ (* (sin ky) (sin th)) ky)
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 3/8 (/ 1 (pow (sin kx) 5))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(/ (sin ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)
(* -1 (/ (sin ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky))
(/ (sin ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))) (/ (sin ky) ky))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin ky) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8))))))))) (* 1/2 (* ky (* (sin ky) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (sin ky) ky))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(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)))))
(* 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))))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(/ 1 (sin kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 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)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ 1 (sin ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -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 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sin ky)
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))
(+ (sin ky) (* -1/6 (* (pow th 2) (sin ky))))
(* -1/6 (* (pow th 2) (sin ky)))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* -1/6 (* (pow th 2) (sin ky)))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* (pow th 2) (+ (* -1/6 (sin ky)) (/ (sin ky) (pow th 2))))
(* ky (+ 1 (* -1/6 (pow th 2))))
(* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* -1/6 (pow th 2)))))
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))))))))
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* 1/120 (+ 1 (* -1/6 (pow th 2)))))))))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(/ 1 (pow (sin kx) 2))
(+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (pow (sin ky) 2))
(+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
Outputs
(/ (* 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 (sin.f64 th) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 th (sin.f64 ky)))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 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)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (*.f64 ky ky))) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (-.f64 (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.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)))))) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))))) (/.f64 ky (sin.f64 kx)))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (/.f64 #s(literal 1 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))))))
(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 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (/.f64 (*.f64 ky ky) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 ky ky) (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) (sin.f64 ky)) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (*.f64 kx kx) (sin.f64 ky))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 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))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(fma.f64 kx (*.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/120 binary64) (*.f64 kx kx) #s(literal -1/6 binary64))) kx)
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(*.f64 kx (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
th
(* th (+ 1 (* -1/6 (pow th 2))))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(*.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)
ky
(+ ky (* 1/2 (/ (pow kx 2) ky)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)
(+ ky (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow ky 2))))) ky)) (* 1/2 (/ 1 ky)))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky))) (/.f64 (*.f64 kx kx) ky)) (/.f64 #s(literal 1/2 binary64) ky)) ky)
(+ ky (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) ky)) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow ky 2)))) (pow ky 2))))) ky)))) (* 1/2 (/ 1 ky)))))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) (*.f64 ky ky))) (/.f64 (*.f64 kx kx) ky)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 ky ky)) #s(literal -1/6 binary64)) ky)) (/.f64 #s(literal 1/2 binary64) ky)) ky)
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sqrt (+ (pow ky 2) (pow (sin kx) 2)))
(hypot.f64 ky (sin.f64 kx))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* -1/8 (/ (pow ky 2) (pow (sin kx) 3))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (- (* 1/16 (/ (pow ky 2) (pow (sin kx) 5))) (* 1/8 (/ 1 (pow (sin kx) 3))))) (* 1/2 (/ 1 (sin kx))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (sin.f64 kx))
ky
(* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))
(fma.f64 ky (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) ky)
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(fma.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) ky)
(* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(fma.f64 ky (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))))) ky)
(* -1 ky)
(neg.f64 ky)
(* -1 (* ky (+ 1 (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) #s(literal 1 binary64)) (neg.f64 ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2)))))))
(neg.f64 (fma.f64 ky (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) ky))
(* -1 (* ky (+ 1 (+ (* -1/8 (/ (pow (sin kx) 4) (pow ky 4))) (+ (* 1/16 (/ (pow (sin kx) 6) (pow ky 6))) (* 1/2 (/ (pow (sin kx) 2) (pow ky 2))))))))
(neg.f64 (fma.f64 ky (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 ky #s(literal 4 binary64))))) ky))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 2/45 binary64) (*.f64 kx kx) #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))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 3/8 (/ (sin th) (pow (sin kx) 5))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (fma.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 5 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))) (+ (* 3/8 (/ (sin th) (pow (sin kx) 5))) (* (pow ky 2) (+ (* -5/16 (/ (sin th) (pow (sin kx) 7))) (+ (* -1/16 (/ (sin th) (pow (sin kx) 5))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -5/16 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 7 binary64))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/5040 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 5 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 th)) (*.f64 ky ky)) (*.f64 (sin.f64 th) (sin.f64 ky))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 th)) (*.f64 ky ky))) (*.f64 (sin.f64 th) (sin.f64 ky))) ky)
(/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 th)) (*.f64 ky ky))) (*.f64 (sin.f64 th) (sin.f64 ky)))) ky)
(* -1 (/ (* (sin ky) (sin th)) ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 th)) (*.f64 ky ky)) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th)))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 th)) (*.f64 ky ky))) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 ky))
(* -1 (/ (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (* (sin th) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6)))) (pow ky 6))) (+ (* -1/2 (/ (* (pow (sin kx) 2) (* (sin ky) (sin th))) (pow ky 2))) (* (sin ky) (sin th))))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (pow.f64 ky #s(literal 6 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (sin.f64 ky)) (sin.f64 th)) (*.f64 ky ky))) (*.f64 (sin.f64 th) (sin.f64 ky)))) (neg.f64 ky))
(/ (* (sin ky) (sin th)) ky)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky))
(+ (* -1/2 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow ky 3))) (/ (* (sin ky) (sin th)) ky))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* 1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6))))))))))) (/ (* (sin ky) (sin th)) ky))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky))))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (sin ky) (sin th)) (pow ky 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))) (pow ky 2))) (+ (* 2/45 (/ 1 (pow ky 4))) (+ (* 2/3 (/ 1 (pow ky 6))) (/ 1 (pow ky 8)))))))))) (* 1/2 (* ky (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow ky 4))) (* 3/4 (/ 1 (pow ky 6)))))))))))) (/ (* (sin ky) (sin th)) ky))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 kx kx) ky) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))) (*.f64 ky ky)) (+.f64 (/.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 2/45 binary64) (pow.f64 ky #s(literal 4 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky (sin.f64 ky)) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 ky #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 ky #s(literal 6 binary64)))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (*.f64 ky (*.f64 ky ky))))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) ky)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))
(*.f64 th (fma.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 1/5040 (/ 1 (sin kx))) (+ (* 1/240 (/ 1 (pow (sin kx) 3))) (+ (* 1/16 (/ 1 (pow (sin kx) 5))) (* 5/16 (/ 1 (pow (sin kx) 7)))))))) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (* 3/8 (/ 1 (pow (sin kx) 5))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
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(/ (sin ky) ky)
(/.f64 (sin.f64 ky) ky)
(/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) (sin.f64 ky)) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (*.f64 ky ky)) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) (sin.f64 ky)) ky)
(/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky)
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(* -1 (/ (sin ky) ky))
(neg.f64 (/.f64 (sin.f64 ky) ky))
(* -1 (/ (+ (sin ky) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))) (sin.f64 ky)) (neg.f64 ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2))))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (/.f64 (sin.f64 ky) (*.f64 ky ky)) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 ky #s(literal 4 binary64)))) (sin.f64 ky)) (neg.f64 ky))
(* -1 (/ (+ (sin ky) (+ (* -1/2 (/ (* (sin ky) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4)))) (pow ky 4))) (+ (* -1/2 (/ (* (sin ky) (+ (* 1/2 (* (pow (sin kx) 2) (+ (* -1 (pow (sin kx) 4)) (* 1/4 (pow (sin kx) 4))))) (pow (sin kx) 6))) (pow ky 6))) (* -1/2 (/ (* (pow (sin kx) 2) (sin ky)) (pow ky 2)))))) ky))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (sin.f64 ky) (/.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64)) (pow.f64 ky #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal -3/4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 (sin.f64 ky) (pow.f64 ky #s(literal 6 binary64))) (*.f64 (sin.f64 ky) (/.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky))))) (sin.f64 ky)) (neg.f64 ky))
(/ (sin ky) ky)
(/.f64 (sin.f64 ky) ky)
(+ (* -1/2 (/ (* (pow kx 2) (sin ky)) (pow ky 3))) (/ (sin ky) ky))
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (sin ky) (sqrt (/ 1 (+ (pow ky 2) (pow (sin kx) 2)))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
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(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
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(+ 1/2 (* -1/2 (cos (* 2 ky))))
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(+ 1/2 (* -1/2 (cos (* 2 ky))))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* -1/2 (cos (* 2 ky))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
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(+ 1/2 (* -1/2 (cos (neg (* -2 ky)))))
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(* 2 (pow kx 2))
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(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
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(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))
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(- 1 (cos (* 2 kx)))
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(- 1 (cos (neg (* -2 kx))))
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(sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))
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(+ (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))))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx)))))))))
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(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
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(+ (* -2 (* (/ (pow ky 2) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))
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(+ (* (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)))))))))
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(+ (* (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)))))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx))))))))
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(sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 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)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
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(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 (sin.f64 th) (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) #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 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 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)))))))))) (* 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 ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
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(*.f64 (*.f64 th th) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (/.f64 (sin.f64 ky) (*.f64 th th))))
(* ky (+ 1 (* -1/6 (pow th 2))))
(fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) ky)
(* ky (+ 1 (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* -1/6 (pow th 2)))))
(fma.f64 ky (*.f64 #s(literal -1/6 binary64) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (*.f64 th th))) ky)
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))))))))
(fma.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) ky)
(* ky (+ 1 (+ (* -1/6 (pow th 2)) (* (pow ky 2) (+ (* -1/6 (+ 1 (* -1/6 (pow th 2)))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow th 2))))) (* 1/120 (+ 1 (* -1/6 (pow th 2)))))))))))
(fma.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64))) (fma.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 th th))) ky)
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(* (sin ky) (+ 1 (* -1/6 (pow th 2))))
(*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))
(/ 1 (pow (sin kx) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+ (* -1 (/ (pow ky 2) (pow (sin kx) 4))) (/ 1 (pow (sin kx) 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6)))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (/ 1 (pow (sin kx) 4)))) (/ 1 (pow (sin kx) 2)))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (fma.f64 (+.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))))) (neg.f64 (*.f64 ky ky)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (pow (sin ky) 2))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (* -1 (/ (pow kx 2) (pow (sin ky) 4))) (/ 1 (pow (sin ky) 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6)))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (/ 1 (pow (sin ky) 4)))) (/ 1 (pow (sin ky) 2)))
(fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (fma.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (*.f64 kx kx)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow 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 (*.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))

eval141.0ms (1.2%)

Memory
-8.5MiB live, 144.3MiB allocated
Compiler

Compiled 21 101 to 2 305 computations (89.1% saved)

prune167.0ms (1.4%)

Memory
7.3MiB live, 206.5MiB allocated
Pruning

41 alts after pruning (39 fresh and 2 done)

PrunedKeptTotal
New74427771
Fresh41216
Picked325
Done000
Total75141792
Accuracy
100.0%
Counts
792 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.1%
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
▶12.3%
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
72.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
12.5%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
29.7%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
72.1%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
71.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
20.4%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
39.7%
(*.f64 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
72.1%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
11.7%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky))
22.9%
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
71.8%
(*.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))
72.1%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))) (sin.f64 th))
▶76.3%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))
56.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
48.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
54.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
▶72.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
11.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 th))
31.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
15.9%
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
30.7%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
26.5%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
36.2%
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
▶30.2%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
71.9%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
71.8%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
34.5%
(*.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 ky ky)))))
24.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
36.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
▶25.1%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
44.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
12.3%
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
17.5%
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
36.4%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
17.3%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
22.4%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
✓26.6%
(sin.f64 th)
Compiler

Compiled 1 725 to 1 201 computations (30.4% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize396.0ms (3.3%)

Memory
-17.6MiB live, 390.4MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
✓accuracy94.2%
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))
✓accuracy80.8%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy75.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
✓accuracy98.1%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
✓accuracy82.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
✓accuracy80.8%
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
✓accuracy99.5%
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy98.3%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy82.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
✓accuracy80.8%
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
✓accuracy100.0%
(*.f64 th th)
✓accuracy100.0%
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
✓accuracy99.8%
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
✓accuracy99.8%
(sqrt.f64 (sqrt.f64 (sin.f64 ky)))
✓accuracy99.8%
(/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx)))
✓accuracy99.8%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))
✓accuracy98.9%
(pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64))
Samples
154.0ms96×2valid
51.0ms59×0invalid
42.0ms48×1valid
21.0ms42×0valid
18.0ms11×3valid
Compiler

Compiled 382 to 49 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
ival-cos: 77.0ms (35% of total)
ival-sin: 43.0ms (19.6% of total)
ival-mult: 30.0ms (13.6% of total)
adjust: 19.0ms (8.6% of total)
ival-sqrt: 14.0ms (6.4% of total)
ival-add: 9.0ms (4.1% of total)
ival-div: 7.0ms (3.2% of total)
ival-hypot: 6.0ms (2.7% of total)
ival-sub: 5.0ms (2.3% of total)
const: 5.0ms (2.3% of total)
ival-pow: 4.0ms (1.8% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series114.0ms (1%)

Memory
3.3MiB live, 195.4MiB allocated
Counts
17 → 336
Calls
Call 1
Inputs
#<alt (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))>
#<alt (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx)))>
#<alt (sqrt.f64 (sqrt.f64 (sin.f64 ky)))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 th th))>
#<alt (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)>
#<alt (*.f64 th th)>
#<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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))>
#<alt (+.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 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 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))>
Outputs
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (pow (* 1 ky) 1/4)>
#<alt (+ (* -1/24 (pow (* 1 (pow ky 9)) 1/4)) (pow (* 1 ky) 1/4))>
#<alt (+ (* (pow ky 2) (+ (* -1/24 (pow (* 1 ky) 1/4)) (* -1/1920 (pow (* 1 (pow ky 9)) 1/4)))) (pow (* 1 ky) 1/4))>
#<alt (+ (* (pow ky 2) (+ (* -1/24 (pow (* 1 ky) 1/4)) (* (pow ky 2) (+ (* -1/1920 (pow (* 1 ky) 1/4)) (* -41/967680 (pow (* 1 (pow ky 9)) 1/4)))))) (pow (* 1 ky) 1/4))>
#<alt (pow (* 1 (sin ky)) 1/4)>
#<alt (pow (* 1 (sin ky)) 1/4)>
#<alt (pow (* 1 (sin ky)) 1/4)>
#<alt (pow (* 1 (sin ky)) 1/4)>
#<alt (pow (* 1 (sin ky)) 1/4)>
#<alt (pow (* 1 (sin ky)) 1/4)>
#<alt (pow (* 1 (sin ky)) 1/4)>
#<alt (pow (* 1 (sin ky)) 1/4)>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt 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 (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 (* 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)>
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#<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)>
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#<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)))))))))))))>
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#<alt (* ky (+ (* -1/6 (* (* (pow ky 2) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* (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) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (pow ky 2) (* (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) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))>
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#<alt (* th (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (pow th 2) (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))>
#<alt (* th (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))>
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#<alt (/ (+ (* (sin ky) (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (* (sin th) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin ky) (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin 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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#<alt (/ (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* 1/12 (/ (sqrt 2) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (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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#<alt (- 1 (cos (* 2 kx)))>
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#<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)))))))>
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#<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)))))))>
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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)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))>
#<alt (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))>
#<alt (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))>
#<alt (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))>
#<alt (* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))>
Calls

84 calls:

TimeVariablePointExpression
37.0ms
ky
@inf
(sqrt (sqrt (sin ky)))
25.0ms
ky
@-inf
(* (* (sin ky) (sin th)) (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* kx -2)))))))
16.0ms
ky
@-inf
(sqrt (sqrt (sin ky)))
4.0ms
ky
@0
(* (sqrt (/ 1 (- 1 (cos (* kx -2))))) (* (* ky (sin th)) (sqrt 2)))
2.0ms
kx
@0
(sqrt (/ 1 (- 1 (cos (* kx -2)))))

rewrite101.0ms (0.9%)

Memory
25.9MiB live, 180.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
928×lower-*.f32
904×lower-*.f64
766×lower-fma.f32
762×lower-fma.f64
650×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045176
085171
1282147
01883146
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
17 → 208
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx)))
(sqrt.f64 (sqrt.f64 (sin.f64 ky)))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 th th)
(-.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))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (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 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky 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 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
Outputs
(exp.f64 (*.f64 #s(literal 4 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (sin.f64 ky))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 2 binary64)))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (sqrt.f64 (sin.f64 ky))))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) (sin.f64 th))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 1/2 binary64)))
(sqrt.f64 (sqrt.f64 (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1/4 binary64)))
(*.f64 th (*.f64 th #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 th th))
(*.f64 (*.f64 th th) #s(literal -1/6 binary64))
(*.f64 (*.f64 th #s(literal -1/6 binary64)) th)
(+.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(+.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)
(-.f64 (/.f64 (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 (*.f64 th th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th)
(fma.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 (*.f64 th (*.f64 th th)) #s(literal -1/6 binary64) th)
(fma.f64 (*.f64 th #s(literal -1/6 binary64)) (*.f64 th th) th)
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(fma.f64 #s(literal -1/2 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 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (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) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky)))))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (+.f64 ky ky))) #s(literal 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)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 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)) (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 #s(literal -1/4 binary64) (cos.f64 (+.f64 ky ky))))))
(/.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 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(/.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 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(/.f64 (neg.f64 (-.f64 (cos.f64 #s(literal 0 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) (fma.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (*.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 (*.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 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) (*.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)))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(*.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (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 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))))) (/.f64 #s(literal 1 binary64) (+.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 1 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 ky ky))))
(+.f64 (neg.f64 (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 ky ky))))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 (+.f64 ky ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (cos.f64 (+.f64 ky ky))) (neg.f64 (cos.f64 (+.f64 ky ky)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 ky ky)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 (+.f64 ky ky))) (neg.f64 (cos.f64 (+.f64 ky ky))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (+.f64 ky ky)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (-.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))))) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) (*.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 ky)))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 th))

simplify367.0ms (3.1%)

Memory
-6.3MiB live, 665.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 586×lower-*.f64
6 586×lower-*.f32
6 118×lower-fma.f64
6 118×lower-fma.f32
4 632×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07627427
124917003
257706965
081886673
Stop Event
1×iter limit
1×node limit
Counts
336 → 334
Calls
Call 1
Inputs
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(pow (* 1 ky) 1/4)
(+ (* -1/24 (pow (* 1 (pow ky 9)) 1/4)) (pow (* 1 ky) 1/4))
(+ (* (pow ky 2) (+ (* -1/24 (pow (* 1 ky) 1/4)) (* -1/1920 (pow (* 1 (pow ky 9)) 1/4)))) (pow (* 1 ky) 1/4))
(+ (* (pow ky 2) (+ (* -1/24 (pow (* 1 ky) 1/4)) (* (pow ky 2) (+ (* -1/1920 (pow (* 1 ky) 1/4)) (* -41/967680 (pow (* 1 (pow ky 9)) 1/4)))))) (pow (* 1 ky) 1/4))
(pow (* 1 (sin ky)) 1/4)
(pow (* 1 (sin ky)) 1/4)
(pow (* 1 (sin ky)) 1/4)
(pow (* 1 (sin ky)) 1/4)
(pow (* 1 (sin ky)) 1/4)
(pow (* 1 (sin ky)) 1/4)
(pow (* 1 (sin ky)) 1/4)
(pow (* 1 (sin ky)) 1/4)
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(* 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)))))
(/ (* 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 (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* th (sqrt 2)))
(* th (+ (* -1/6 (* ky (* (pow th 2) (sqrt 2)))) (* ky (sqrt 2))))
(* th (+ (* ky (sqrt 2)) (* (pow th 2) (+ (* -1/6 (* ky (sqrt 2))) (* 1/120 (* ky (* (pow th 2) (sqrt 2))))))))
(* th (+ (* ky (sqrt 2)) (* (pow th 2) (+ (* -1/6 (* ky (sqrt 2))) (* (pow th 2) (+ (* -1/5040 (* ky (* (pow th 2) (sqrt 2)))) (* 1/120 (* ky (sqrt 2)))))))))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* ky (+ (* -1/6 (* (* (pow ky 2) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (pow ky 2) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* th (+ (* -1/6 (* (* (pow th 2) (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(* th (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (pow th 2) (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(* th (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(/ (* (sin ky) (* (sin th) (* (sqrt 1/2) (sqrt 2)))) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* (sin ky) (* (sin th) (* (sqrt 1/2) (sqrt 2))))) kx)
(/ (+ (* (sin ky) (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (* (sin th) (sqrt 2))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))) kx)
(/ (+ (* (sin ky) (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (* (sin th) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin ky) (* (sin th) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sin 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)
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(/ (* (sqrt 1/2) (sqrt 2)) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (sqrt 2)) (sqrt 1/2))) (* (sqrt 1/2) (sqrt 2))) kx)
(/ (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* 1/12 (/ (sqrt 2) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (sqrt 1/2)))))) kx)
(/ (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* 1/12 (/ (sqrt 2) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* (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)
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (sqrt 2) (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)))))
(* 2 (pow kx 2))
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (neg (* -2 kx))))
(- 1 (cos (neg (* -2 kx))))
(- 1 (cos (neg (* -2 kx))))
(- 1 (cos (neg (* -2 kx))))
(sqrt (+ 1/2 (* -1/2 (cos (* 2 ky)))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))
(+ (* 1/2 (* (/ (pow ky 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))))
(+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (+ 1/2 (* -1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))))) (sqrt (+ 1/2 (* -1/2 (cos (* 2 ky))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
Outputs
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))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 ky (*.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64))) ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.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 #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 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 (/.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)))) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.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 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 (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 (*.f64 (sin.f64 kx) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)))) (*.f64 #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 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)))) (/.f64 (sin.f64 th) (sin.f64 kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 kx kx) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 kx kx) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (*.f64 kx kx) (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (*.f64 kx kx) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (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))))))))))) (sin.f64 th))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (*.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 ky (*.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 1/120 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (+.f64 (/.f64 #s(literal -1/6 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) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (+.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 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))) (fma.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (+.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 #s(literal 1/2 binary64) (*.f64 (sin.f64 kx) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (+.f64 (/.f64 #s(literal -1/6 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 (/.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 (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))))))
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(*.f64 th (fma.f64 ky (*.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 2 binary64))) (*.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64)))))))))
(* 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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(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
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(* ky (* th (sqrt 2)))
(*.f64 ky (*.f64 th (sqrt.f64 #s(literal 2 binary64))))
(* th (+ (* -1/6 (* ky (* (pow th 2) (sqrt 2)))) (* ky (sqrt 2))))
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(* th (+ (* ky (sqrt 2)) (* (pow th 2) (+ (* -1/6 (* ky (sqrt 2))) (* 1/120 (* ky (* (pow th 2) (sqrt 2))))))))
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(* th (+ (* ky (sqrt 2)) (* (pow th 2) (+ (* -1/6 (* ky (sqrt 2))) (* (pow th 2) (+ (* -1/5040 (* ky (* (pow th 2) (sqrt 2)))) (* 1/120 (* ky (sqrt 2)))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal 1/120 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/5040 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* ky (* (sin th) (sqrt 2)))
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(* ky (* (sin th) (sqrt 2)))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(* ky (+ (* -1/6 (* (* (pow ky 2) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 ky ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (pow ky 2) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 ky ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (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 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 ky ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(* th (+ (* -1/6 (* (* (pow th 2) (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))))))))
(* th (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (pow th 2) (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (*.f64 (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 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))))))
(* th (+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (sin.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))))
(/ (* (sin ky) (* (sin th) (* (sqrt 1/2) (sqrt 2)))) kx)
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(/ (+ (* 1/12 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* (sin ky) (* (sin th) (* (sqrt 1/2) (sqrt 2))))) kx)
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(fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (*.f64 ky ky) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))
(fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 ky ky) (/.f64 (-.f64 #s(literal 2/45 binary64) (neg.f64 (/.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))))))) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -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))))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 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 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.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 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (fma.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)))) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(*.f64 ky (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky ky) (fma.f64 #s(literal 1/120 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (fma.f64 (*.f64 ky ky) (fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (neg.f64 (/.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 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 16 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (+.f64 (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/12 binary64) (*.f64 (-.f64 (/.f64 #s(literal 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 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.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 (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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 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 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))) (/.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 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (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 (*.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)))) (*.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))))) (* 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 (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 #s(literal 1/2 binary64) (*.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))) (*.f64 (*.f64 (sin.f64 ky) (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 (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 (/.f64 #s(literal -1/6 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 -3/8 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 (*.f64 (sin.f64 ky) (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 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (*.f64 (sin.f64 ky) (*.f64 th th)) (sin.f64 ky))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx))))))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (fma.f64 #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 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))

eval85.0ms (0.7%)

Memory
4.1MiB live, 196.4MiB allocated
Compiler

Compiled 14 590 to 1 538 computations (89.5% saved)

prune176.0ms (1.5%)

Memory
19.9MiB live, 314.1MiB allocated
Pruning

70 alts after pruning (66 fresh and 4 done)

PrunedKeptTotal
New56239601
Fresh72734
Picked325
Done022
Total57270642
Accuracy
100.0%
Counts
642 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.3%
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
12.3%
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
12.1%
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
✓12.3%
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
12.3%
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
3.9%
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
13.7%
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
13.7%
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
25.1%
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
72.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
29.7%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
72.1%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
3.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
13.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
71.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
20.4%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
▶20.4%
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
25.2%
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
72.1%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
22.9%
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
71.8%
(*.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))
▶72.1%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))) (sin.f64 th))
✓76.3%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))
56.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
48.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
54.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
▶30.3%
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
72.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
34.9%
(*.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))
26.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
31.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
15.9%
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
30.7%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
13.7%
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
30.2%
(*.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
30.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
25.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
30.4%
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
26.5%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
36.2%
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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))))))))
21.6%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
21.7%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
26.2%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
21.9%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
30.3%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
71.9%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
71.8%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
36.4%
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
4.8%
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
24.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
25.2%
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
25.1%
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
▶17.3%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
14.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
15.0%
(*.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)))))
44.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
19.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
21.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
27.3%
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
12.3%
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
17.5%
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
36.4%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
17.3%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
22.4%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 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))))
15.1%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
25.3%
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
▶11.2%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
✓26.6%
(sin.f64 th)
Compiler

Compiled 2 988 to 1 963 computations (34.3% saved)

simplify0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

localize399.0ms (3.4%)

Memory
-0.2MiB live, 591.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
✓accuracy99.3%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
✓accuracy78.9%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
✓accuracy75.9%
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
✓accuracy99.4%
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy98.1%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy78.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
✓accuracy75.9%
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))
✓accuracy99.5%
(fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))
✓accuracy99.4%
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy94.4%
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
✓accuracy75.5%
(/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)
✓accuracy100.0%
(*.f64 th th)
✓accuracy99.9%
(*.f64 th (*.f64 th th))
✓accuracy99.9%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
✓accuracy99.6%
(/.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))))))
✓accuracy93.2%
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))
✓accuracy75.9%
(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))
✓accuracy74.7%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
Samples
200.0ms115×2valid
51.0ms54×1valid
41.0ms75×0valid
24.0ms12×3valid
Compiler

Compiled 387 to 52 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 256.0ms
ival-cos: 81.0ms (31.6% of total)
adjust: 40.0ms (15.6% of total)
ival-mult: 40.0ms (15.6% of total)
ival-sub: 23.0ms (9% of total)
ival-div: 19.0ms (7.4% of total)
ival-pow: 12.0ms (4.7% of total)
ival-sin: 12.0ms (4.7% of total)
ival-sqrt: 11.0ms (4.3% of total)
ival-add: 9.0ms (3.5% of total)
const: 8.0ms (3.1% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
-14.2MiB live, 59.3MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#<alt (+.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 kx)))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))>
#<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 -1/6 binary64) (*.f64 th (*.f64 th th)))>
#<alt (*.f64 th (*.f64 th th))>
#<alt (*.f64 th th)>
#<alt (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)>
#<alt (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))>
#<alt (*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))>
Outputs
#<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 (* 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 (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))>
#<alt (+ (* -1 (/ (pow kx 2) (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3)))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1 (* (pow kx 2) (+ (* 2/45 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 4)))))) (+ (* 1/3 (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 3))))) (/ 1 (pow (+ 1/2 (* -1/2 (cos (* 2 ky)))) 2)))) (/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))>
#<alt (/ 2 (- 1 (cos (* 2 kx))))>
#<alt (+ (* -4 (/ (pow ky 2) (pow (- 1 (cos (* 2 kx))) 2))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (* 4 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))))) (* 2 (/ 1 (- 1 (cos (* 2 kx))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (/ 1 (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1/6 (pow th 3))>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 3)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (pow th 2)>
#<alt (/ (sqrt 1/2) kx)>
#<alt (/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)>
#<alt (/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)>
#<alt (/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)>
#<alt (* 1/12 (/ kx (sqrt 1/2)))>
#<alt (* kx (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))>
#<alt (* kx (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))>
#<alt (* kx (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))>
#<alt (* 1/12 (/ kx (sqrt 1/2)))>
#<alt (* -1 (* kx (- (* -1 (/ (sqrt 1/2) (pow kx 2))) (* 1/12 (/ 1 (sqrt 1/2))))))>
#<alt (* -1 (* kx (- (* -1 (/ (sqrt 1/2) (pow kx 2))) (* 1/12 (/ 1 (sqrt 1/2))))))>
#<alt (* -1 (* kx (- (* -1 (/ (sqrt 1/2) (pow kx 2))) (* 1/12 (/ 1 (sqrt 1/2))))))>
#<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 (/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* 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 (* 1/12 (/ (* kx (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2)))>
#<alt (* kx (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))))>
#<alt (* kx (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))))>
#<alt (* kx (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))))>
#<alt (* 1/12 (/ (* kx (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2)))>
#<alt (* -1 (* kx (+ (* -1 (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))) (* -1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))) (* -1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))) (* -1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))))))>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* th (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (* th (+ (* -1/6 (/ (* ky (* (pow th 2) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)) (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)) (* 1/120 (/ (* ky (* (pow th 2) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)))) (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)) (* 1/120 (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)))))) (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)))>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* th (sqrt 2)))>
#<alt (* th (+ (* -1/6 (* ky (* (pow th 2) (sqrt 2)))) (* ky (sqrt 2))))>
#<alt (* th (+ (* ky (sqrt 2)) (* (pow th 2) (+ (* -1/6 (* ky (sqrt 2))) (* 1/120 (* ky (* (pow th 2) (sqrt 2))))))))>
#<alt (* th (+ (* ky (sqrt 2)) (* (pow th 2) (+ (* -1/6 (* ky (sqrt 2))) (* (pow th 2) (+ (* -1/5040 (* ky (* (pow th 2) (sqrt 2)))) (* 1/120 (* ky (sqrt 2)))))))))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (* ky (* (sin th) (sqrt 2)))>
#<alt (sqrt 1/2)>
#<alt (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))>
#<alt (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))>
#<alt (* 1/12 (/ (pow kx 2) (sqrt 1/2)))>
#<alt (* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))>
#<alt (* 1/12 (/ (pow kx 2) (sqrt 1/2)))>
#<alt (* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))>
#<alt (* 2 (pow kx 2))>
#<alt (* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))>
#<alt (* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))>
#<alt (- 1 (cos (* -2 kx)))>
#<alt (- 1 (cos (* -2 kx)))>
#<alt (- 1 (cos (* -2 kx)))>
#<alt (- 1 (cos (* -2 kx)))>
#<alt (- 1 (cos (* -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 (/ (* th (* (sin ky) (* (sqrt 1/2) (sqrt 2)))) kx)>
#<alt (/ (+ (* 1/12 (/ (* (pow kx 2) (* th (* (sin ky) (sqrt 2)))) (sqrt 1/2))) (* th (* (sin ky) (* (sqrt 1/2) (sqrt 2))))) kx)>
#<alt (/ (+ (* th (* (sin ky) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* th (* (sin ky) (sqrt 2))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))) kx)>
#<alt (/ (+ (* th (* (sin ky) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* th (* (sin ky) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* th (* (sin ky) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin 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 (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* ky (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* ky (+ (* -1/6 (* (* (pow ky 2) (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))>
#<alt (* ky (+ (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (pow ky 2) (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))>
#<alt (* ky (+ (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* ky (* th (sqrt 2)))>
#<alt (* ky (+ (* -1/6 (* (pow ky 2) (* th (sqrt 2)))) (* th (sqrt 2))))>
#<alt (* ky (+ (* th (sqrt 2)) (* (pow ky 2) (+ (* -1/6 (* th (sqrt 2))) (* 1/120 (* (pow ky 2) (* th (sqrt 2))))))))>
#<alt (* ky (+ (* th (sqrt 2)) (* (pow ky 2) (+ (* -1/6 (* th (sqrt 2))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (* th (sqrt 2)))) (* 1/120 (* th (sqrt 2)))))))))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* th (* (sin ky) (sqrt 2)))>
#<alt (* kx (sqrt 2))>
#<alt (* kx (+ (sqrt 2) (* -1/3 (/ (pow kx 2) (sqrt 2)))))>
#<alt (* kx (+ (sqrt 2) (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2)))))))>
#<alt (* kx (+ (sqrt 2) (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2)))))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (sqrt (- 1 (cos (* -2 kx))))>
#<alt (* kx (* (sqrt 1/2) (sqrt 2)))>
#<alt (* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))>
#<alt (* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))>
#<alt (* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))>
#<alt (* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* ky (+ (* -1/6 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))>
#<alt (* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))>
#<alt (* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* 1/12 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt 1/2) 2))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx)>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* th (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* th (+ (* -1/6 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))>
#<alt (* th (+ (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))>
#<alt (* th (+ (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
#<alt (* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))>
Calls

84 calls:

TimeVariablePointExpression
6.0ms
kx
@0
(* (/ (+ (* 1/12 (/ (* kx kx) (sqrt 1/2))) (sqrt 1/2)) kx) (* (* ky (sin th)) (sqrt 2)))
2.0ms
ky
@0
(* (/ (+ (* 1/12 (/ (* kx kx) (sqrt 1/2))) (sqrt 1/2)) kx) (* (* ky (sin th)) (sqrt 2)))
1.0ms
th
@inf
(* (/ (+ (* 1/12 (/ (* kx kx) (sqrt 1/2))) (sqrt 1/2)) kx) (* (* ky (sin th)) (sqrt 2)))
1.0ms
th
@0
(* (/ (+ (* 1/12 (/ (* kx kx) (sqrt 1/2))) (sqrt 1/2)) kx) (* (* ky (sin th)) (sqrt 2)))
1.0ms
kx
@inf
(* (/ (+ (* 1/12 (/ (* kx kx) (sqrt 1/2))) (sqrt 1/2)) kx) (* (* ky (sin th)) (sqrt 2)))

rewrite154.0ms (1.3%)

Memory
1.4MiB live, 161.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
960×lower-*.f32
932×lower-*.f64
696×lower-/.f32
686×lower-/.f64
526×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046188
084182
1269177
01711174
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 214
Calls
Call 1
Inputs
(+.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)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))
(/.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 -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 th (*.f64 th th))
(*.f64 th th)
(/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 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))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) (+.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))
(fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (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) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) (-.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 (fma.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 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)) (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 #s(literal -1/4 binary64) (cos.f64 (+.f64 ky ky))))))
(/.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 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(/.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 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))))) (neg.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (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 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sin.f64 ky)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (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) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #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)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 th (sin.f64 ky)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (*.f64 th (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky)))
(*.f64 (sin.f64 ky) (*.f64 th (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (sin.f64 ky))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th)
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 (*.f64 kx #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 kx #s(literal -2 binary64)))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (sin.f64 th) (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 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.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 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (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 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))) (sin.f64 th)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))

simplify444.0ms (3.7%)

Memory
-15.9MiB live, 712.6MiB allocated
Algorithm
1×egg-herbie
Rules
11 042×lower-fma.f64
11 042×lower-fma.f32
9 282×lower-*.f64
9 282×lower-*.f32
3 158×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05665934
118495538
266795447
083555196
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(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)))))
(* 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)))))))
(/ 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)))))))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(* -1/6 (pow th 3))
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 3)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(pow th 2)
(/ (sqrt 1/2) kx)
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)
(/ (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))) kx)
(* 1/12 (/ kx (sqrt 1/2)))
(* kx (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))
(* kx (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))
(* kx (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))
(* 1/12 (/ kx (sqrt 1/2)))
(* -1 (* kx (- (* -1 (/ (sqrt 1/2) (pow kx 2))) (* 1/12 (/ 1 (sqrt 1/2))))))
(* -1 (* kx (- (* -1 (/ (sqrt 1/2) (pow kx 2))) (* 1/12 (/ 1 (sqrt 1/2))))))
(* -1 (* kx (- (* -1 (/ (sqrt 1/2) (pow kx 2))) (* 1/12 (/ 1 (sqrt 1/2))))))
(/ (* 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)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2))) (* 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)
(* 1/12 (/ (* kx (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2)))
(* kx (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))))
(* kx (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))))
(* kx (+ (* 1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))) (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))))
(* 1/12 (/ (* kx (* ky (* (sin th) (sqrt 2)))) (sqrt 1/2)))
(* -1 (* kx (+ (* -1 (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))) (* -1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))))))
(* -1 (* kx (+ (* -1 (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))) (* -1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))))))
(* -1 (* kx (+ (* -1 (/ (* ky (* (sin th) (* (sqrt 1/2) (sqrt 2)))) (pow kx 2))) (* -1/12 (/ (* ky (* (sin th) (sqrt 2))) (sqrt 1/2))))))
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* th (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(* th (+ (* -1/6 (/ (* ky (* (pow th 2) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)) (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)) (* 1/120 (/ (* ky (* (pow th 2) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)))) (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* ky (* (pow th 2) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)) (* 1/120 (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)))))) (/ (* ky (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2)))))) kx)))
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(/ (* ky (* (sin th) (* (sqrt 2) (+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))))) kx)
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* th (sqrt 2)))
(* th (+ (* -1/6 (* ky (* (pow th 2) (sqrt 2)))) (* ky (sqrt 2))))
(* th (+ (* ky (sqrt 2)) (* (pow th 2) (+ (* -1/6 (* ky (sqrt 2))) (* 1/120 (* ky (* (pow th 2) (sqrt 2))))))))
(* th (+ (* ky (sqrt 2)) (* (pow th 2) (+ (* -1/6 (* ky (sqrt 2))) (* (pow th 2) (+ (* -1/5040 (* ky (* (pow th 2) (sqrt 2)))) (* 1/120 (* ky (sqrt 2)))))))))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(* ky (* (sin th) (sqrt 2)))
(sqrt 1/2)
(+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))
(+ (sqrt 1/2) (* 1/12 (/ (pow kx 2) (sqrt 1/2))))
(* 1/12 (/ (pow kx 2) (sqrt 1/2)))
(* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))
(* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))
(* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))
(* 1/12 (/ (pow kx 2) (sqrt 1/2)))
(* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))
(* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))
(* (pow kx 2) (+ (* 1/12 (/ 1 (sqrt 1/2))) (/ (sqrt 1/2) (pow kx 2))))
(* 2 (pow kx 2))
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))
(- 1 (cos (* -2 kx)))
(- 1 (cos (* -2 kx)))
(- 1 (cos (* -2 kx)))
(- 1 (cos (* -2 kx)))
(- 1 (cos (* -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)))))
(/ (* th (* (sin ky) (* (sqrt 1/2) (sqrt 2)))) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* th (* (sin ky) (sqrt 2)))) (sqrt 1/2))) (* th (* (sin ky) (* (sqrt 1/2) (sqrt 2))))) kx)
(/ (+ (* th (* (sin ky) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* th (* (sin ky) (sqrt 2))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin ky) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))))) (sqrt 1/2)))))) kx)
(/ (+ (* th (* (sin ky) (* (sqrt 1/2) (sqrt 2)))) (* (pow kx 2) (+ (* 1/12 (/ (* th (* (sin ky) (sqrt 2))) (sqrt 1/2))) (* (pow kx 2) (+ (* 1/2 (/ (* th (* (sin ky) (* (sqrt 2) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (sqrt 1/2))) (* 1/2 (/ (* (pow kx 2) (* th (* (sin 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)
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* ky (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* ky (+ (* -1/6 (* (* (pow ky 2) (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(* ky (+ (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* (pow ky 2) (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(* ky (+ (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (* (pow ky 2) (* th (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (* th (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (* th (* (sin ky) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* ky (* th (sqrt 2)))
(* ky (+ (* -1/6 (* (pow ky 2) (* th (sqrt 2)))) (* th (sqrt 2))))
(* ky (+ (* th (sqrt 2)) (* (pow ky 2) (+ (* -1/6 (* th (sqrt 2))) (* 1/120 (* (pow ky 2) (* th (sqrt 2))))))))
(* ky (+ (* th (sqrt 2)) (* (pow ky 2) (+ (* -1/6 (* th (sqrt 2))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (* th (sqrt 2)))) (* 1/120 (* th (sqrt 2)))))))))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* th (* (sin ky) (sqrt 2)))
(* kx (sqrt 2))
(* kx (+ (sqrt 2) (* -1/3 (/ (pow kx 2) (sqrt 2)))))
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* 1/2 (/ (* (pow kx 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2)))))))
(* kx (+ (sqrt 2) (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2)))))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(sqrt (- 1 (cos (* -2 kx))))
(* kx (* (sqrt 1/2) (sqrt 2)))
(* kx (+ (* -1/3 (/ (* (pow kx 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))
(* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))
(* kx (+ (* (sqrt 1/2) (sqrt 2)) (* (pow kx 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* ky (+ (* -1/6 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/12 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt 1/2) 2))) (* (sin ky) (sin th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx)
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* th (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* th (+ (* -1/6 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(* th (+ (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(* th (+ (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
Outputs
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(*.f64 ky (fma.f64 ky (*.f64 (*.f64 ky ky) #s(literal -1/3 binary64)) ky))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(*.f64 (*.f64 (fma.f64 (*.f64 ky ky) (fma.f64 (*.f64 ky 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)))
(+ 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))
(* 2 (pow kx 2))
(*.f64 #s(literal 2 binary64) (*.f64 kx kx))
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
(*.f64 kx (*.f64 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 kx (*.f64 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))))
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(- 1 (cos (* 2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))
(- 1 (cos (* 2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))
(- 1 (cos (* 2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))
(- 1 (cos (* 2 kx)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))
(- 1 (cos (neg (* -2 kx))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))
(- 1 (cos (neg (* -2 kx))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))
(- 1 (cos (neg (* -2 kx))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))
(- 1 (cos (neg (* -2 kx))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))
(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 (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 #s(literal 1/2 binary64) (*.f64 kx kx)) (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) (+ (* -1/2 (* (+ 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)))))))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))))
(+ (* 1/2 (* (/ (pow ky 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (*.f64 (/.f64 (*.f64 ky ky) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
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(+ (* (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))))))))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(sqrt (+ 1/2 (+ (* -1/2 (cos (neg (* -2 ky)))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (* -1/2 (cos (* 2 ky)))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (* 2 kx)))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(/ 1 (+ 1/2 (+ (* -1/2 (cos (* 2 ky))) (* 1/2 (- 1 (cos (neg (* -2 kx))))))))
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(/ 2 (- 1 (cos (* 2 kx))))
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(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* -2 kx)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx)))))
(* (/ (* ky (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 1/2 binary64))))
(* ky (+ (* -1/6 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(*.f64 ky (fma.f64 ky (*.f64 ky (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))))
(* ky (+ (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow ky 2) (+ (* -1/6 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow ky 2) (+ (* -1/5040 (* (/ (* (pow ky 2) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin th) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(*.f64 ky (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 ky ky) #s(literal 1/120 binary64)))) (*.f64 (*.f64 ky ky) (*.f64 ky ky)))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(/ (+ (* 1/12 (/ (* (pow kx 2) (* (sin ky) (sin th))) (pow (sqrt 1/2) 2))) (* (sin ky) (sin th))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (*.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (*.f64 (sin.f64 ky) (*.f64 (*.f64 (sin.f64 th) #s(literal 7/180 binary64)) #s(literal 1/2 binary64))) (*.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (+ (* 1/12 (/ (* (sin ky) (sin th)) (pow (sqrt 1/2) 2))) (* (pow kx 2) (+ (* 1/2 (/ (* (sin ky) (* (sin th) (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))))) (pow (sqrt 1/2) 2))) (* 1/2 (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- 1/189 (* 1/12 (/ (- 1/30 (* 1/144 (/ 1 (pow (sqrt 1/2) 2)))) (pow (sqrt 1/2) 2))))))) (pow (sqrt 1/2) 2)))))))) kx)
(/.f64 (fma.f64 (*.f64 kx kx) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (fma.f64 (*.f64 kx kx) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 31/7560 binary64)) (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) #s(literal 7/180 binary64)))) (*.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) #s(literal 1/2 binary64)))) (*.f64 (sin.f64 th) (sin.f64 ky))) kx)
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* th (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* th (+ (* -1/6 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))))
(* th (+ (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))
(*.f64 th (fma.f64 (*.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))))))
(* th (+ (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))) (* (pow th 2) (+ (* -1/6 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* (pow th 2) (+ (* -1/5040 (* (/ (* (pow th 2) (sin ky)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))) (* 1/120 (* (/ (sin ky) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx)))))))))))))
(*.f64 th (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/5040 binary64) (*.f64 th th) #s(literal 1/120 binary64)))) (*.f64 (*.f64 th th) (*.f64 th th)))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(* (/ (* (sin ky) (sin th)) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* -2 kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))

eval83.0ms (0.7%)

Memory
-4.5MiB live, 163.0MiB allocated
Compiler

Compiled 13 742 to 1 486 computations (89.2% saved)

prune151.0ms (1.3%)

Memory
8.5MiB live, 360.4MiB allocated
Pruning

104 alts after pruning (98 fresh and 6 done)

PrunedKeptTotal
New54243585
Fresh65561
Picked325
Done044
Total551104655
Accuracy
100.0%
Counts
655 → 104
Alt Table
Click to see full alt table
StatusAccuracyProgram
12.3%
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
12.1%
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
✓12.3%
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
3.9%
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
30.2%
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
13.7%
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
13.7%
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
20.4%
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
17.3%
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
25.1%
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
30.3%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
72.0%
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
29.7%
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
72.1%
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
30.4%
(/.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)))
3.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
13.7%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
71.4%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
21.0%
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
20.4%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
20.4%
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
10.4%
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
9.8%
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
9.9%
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
8.9%
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
12.0%
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
17.3%
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
15.4%
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
25.2%
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
72.1%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
22.9%
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
71.8%
(*.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))
72.1%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (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))
✓76.3%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))
56.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
48.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
✓99.6%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
54.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
27.3%
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
✓30.3%
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
26.6%
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
72.0%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
26.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
30.3%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
31.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
30.4%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
33.7%
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
15.9%
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
30.7%
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
20.4%
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
13.7%
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
20.4%
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
21.4%
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
11.2%
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
30.4%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
25.2%
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
26.3%
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
30.4%
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
30.3%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
26.5%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
36.2%
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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))))))))
21.6%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
21.7%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
30.3%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
71.9%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))))
71.8%
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
36.4%
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
4.8%
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
15.0%
(*.f64 (*.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 #s(literal -2 binary64) kx))))))
24.4%
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
11.2%
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
25.2%
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
25.1%
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
9.9%
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
12.0%
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
11.2%
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
17.3%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
14.7%
(*.f64 (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 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
14.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
15.0%
(*.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)))))
30.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
17.3%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
44.8%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
13.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
19.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
13.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
21.0%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
27.4%
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
30.4%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
17.4%
(*.f64 (sin.f64 ky) (*.f64 (*.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))))))))
27.3%
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
12.3%
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
17.5%
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
16.5%
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
36.4%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
17.3%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
22.4%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 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))))
15.1%
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
10.2%
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
25.3%
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
✓11.2%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
11.2%
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
11.2%
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
✓26.6%
(sin.f64 th)
Compiler

Compiled 4 598 to 1 952 computations (57.5% saved)

regimes403.0ms (3.4%)

Memory
14.6MiB live, 573.7MiB allocated
Counts
131 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
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(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(fma.f64 kx (/.f64 (*.f64 kx (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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) (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) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 ky) th))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (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))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal -1/2 binary64))) (sin.f64 th))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (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) (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 (-.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 ky ky)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 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 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (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 (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

9 calls:

62.0ms
(sin.f64 th)
57.0ms
(sin.f64 kx)
52.0ms
kx
41.0ms
(sin.f64 ky)
39.0ms
(*.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
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)

regimes352.0ms (3%)

Memory
13.1MiB live, 525.8MiB allocated
Counts
120 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (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 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (sin.f64 th) (/.f64 (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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.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 ky ky)))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(fma.f64 kx (/.f64 (*.f64 kx (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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) (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) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))
Calls

9 calls:

53.0ms
(sin.f64 th)
49.0ms
(*.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))
37.0ms
(/.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)))))
36.0ms
kx
36.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
99.5%2kx
99.3%2ky
83.7%2th
86.4%5(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
99.5%4(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.3%3(sin.f64 ky)
99.5%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.6%3(sin.f64 kx)
83.7%3(sin.f64 th)
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes75.0ms (0.6%)

Memory
-10.1MiB live, 142.8MiB allocated
Counts
114 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
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(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #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) (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) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th))
Calls

2 calls:

35.0ms
kx
32.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.5%2kx
99.5%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes334.0ms (2.8%)

Memory
-0.0MiB live, 483.1MiB allocated
Counts
111 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (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 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (sin.f64 th) (/.f64 (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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.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 ky ky)))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(fma.f64 kx (/.f64 (*.f64 kx (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (*.f64 kx (/.f64 kx (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))
Calls

9 calls:

61.0ms
(sin.f64 kx)
43.0ms
(/.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
kx
32.0ms
th
32.0ms
(*.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
69.4%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))
77.8%4(sin.f64 th)
77.9%3th
84.8%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)))))
76.7%3(sin.f64 ky)
79.0%4(sin.f64 kx)
76.5%2ky
79.8%3kx
77.1%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes34.0ms (0.3%)

Memory
28.1MiB live, 66.0MiB allocated
Counts
106 → 6
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (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 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (sin.f64 th) (/.f64 (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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.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 ky ky)))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(fma.f64 kx (/.f64 (*.f64 kx (*.f64 #s(literal -1/2 binary64) (sin.f64 th))) (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))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th))
Calls

1 calls:

28.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
84.7%6(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes323.0ms (2.7%)

Memory
6.4MiB live, 470.9MiB allocated
Counts
103 → 6
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (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 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (sin.f64 th) (/.f64 (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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.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 ky ky)))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

9 calls:

54.0ms
(*.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))
52.0ms
(sin.f64 th)
35.0ms
ky
31.0ms
th
30.0ms
kx
Results
AccuracySegmentsBranch
58.2%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))
57.4%4(sin.f64 th)
67.0%4(sin.f64 ky)
62.6%5(sin.f64 kx)
58.4%5th
66.7%3ky
60.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
63.0%4kx
71.9%6(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes42.0ms (0.4%)

Memory
-7.8MiB live, 71.4MiB allocated
Counts
102 → 6
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (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 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (sin.f64 th) (/.f64 (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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.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 ky ky)))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 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))))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

1 calls:

37.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
71.9%6(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes35.0ms (0.3%)

Memory
-10.2MiB live, 67.0MiB allocated
Counts
101 → 6
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (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 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (sin.f64 th) (/.f64 (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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.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 ky ky)))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

1 calls:

28.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
71.7%6(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes63.0ms (0.5%)

Memory
16.6MiB live, 134.8MiB allocated
Counts
98 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (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 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(/.f64 (sin.f64 th) (/.f64 (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 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.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 ky ky)))))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
Outputs
(*.f64 (/.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 kx kx))) #s(literal 1/2 binary64) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
Calls

2 calls:

30.0ms
ky
27.0ms
(/.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
66.7%3ky
65.1%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 20 to 14 computations (30% saved)

regimes79.0ms (0.7%)

Memory
7.3MiB live, 163.4MiB allocated
Counts
87 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (fma.f64 ky ky (fma.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (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) (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

3 calls:

27.0ms
(sin.f64 ky)
24.0ms
ky
23.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
65.1%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)))))
60.6%4(sin.f64 ky)
59.7%3ky
Compiler

Compiled 25 to 18 computations (28% saved)

regimes27.0ms (0.2%)

Memory
9.5MiB live, 47.9MiB allocated
Counts
82 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

1 calls:

22.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
65.1%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)

regimes27.0ms (0.2%)

Memory
10.5MiB live, 48.2MiB allocated
Counts
81 → 5
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

1 calls:

22.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
65.1%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)

regimes31.0ms (0.3%)

Memory
-48.9MiB live, 51.8MiB allocated
Counts
79 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

1 calls:

27.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
63.5%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)

regimes141.0ms (1.2%)

Memory
37.0MiB live, 263.7MiB allocated
Counts
77 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64)) (sin.f64 th))
Outputs
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
Calls

6 calls:

24.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
24.0ms
ky
23.0ms
kx
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
49.7%3(sin.f64 ky)
58.2%4(sin.f64 kx)
48.5%3ky
55.4%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
55.4%3kx
52.7%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 41 to 31 computations (24.4% saved)

regimes105.0ms (0.9%)

Memory
-11.1MiB live, 110.7MiB allocated
Counts
74 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx)))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 kx (sqrt.f64 #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))
(*.f64 (sin.f64 ky) (*.f64 (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 (*.f64 (sin.f64 ky) th) (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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) th))
(*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 th (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx)))
(*.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) kx))
(*.f64 (/.f64 (sin.f64 ky) (*.f64 kx (fma.f64 (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (sin.f64 th))
Outputs
(sin.f64 th)
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (*.f64 kx kx) (*.f64 ky ky)))) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
Calls

3 calls:

43.0ms
(sin.f64 th)
35.0ms
kx
23.0ms
(sin.f64 kx)
Results
AccuracySegmentsBranch
55.4%3kx
39.7%4(sin.f64 th)
55.7%4(sin.f64 kx)
Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes88.0ms (0.7%)

Memory
-7.7MiB live, 146.9MiB allocated
Counts
57 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
(*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))))
Outputs
(sin.f64 th)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 ky (*.f64 (sin.f64 th) (sqrt.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64))))))))
Calls

5 calls:

18.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
17.0ms
kx
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)))))
17.0ms
(sin.f64 kx)
16.0ms
th
Results
AccuracySegmentsBranch
51.1%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
52.3%3(sin.f64 kx)
37.9%4th
52.3%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
52.5%3kx
Compiler

Compiled 36 to 27 computations (25% saved)

regimes86.0ms (0.7%)

Memory
-9.4MiB live, 157.2MiB allocated
Counts
55 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) ky) (sin.f64 th))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))) th)
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 th (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 kx kx) ky) ky)) (sin.f64 th))
Outputs
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(sin.f64 th)
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
Calls

5 calls:

20.0ms
(sin.f64 kx)
17.0ms
(*.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))
16.0ms
kx
14.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
14.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
51.1%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
43.6%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))
47.0%3(sin.f64 kx)
43.1%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
43.9%3kx
Compiler

Compiled 51 to 37 computations (27.5% saved)

regimes45.0ms (0.4%)

Memory
4.8MiB live, 86.3MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (*.f64 th (fma.f64 (*.f64 th th) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
Outputs
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(sin.f64 th)
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
Calls

3 calls:

15.0ms
ky
14.0ms
(sin.f64 ky)
13.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
42.6%2ky
43.3%2(sin.f64 ky)
47.3%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 25 to 18 computations (28% saved)

regimes29.0ms (0.2%)

Memory
12.6MiB live, 50.4MiB allocated
Counts
46 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sin.f64 th)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) kx) (/.f64 kx (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) kx))
(/.f64 (*.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))) kx)
(*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))))) (fma.f64 (*.f64 #s(literal -1/6 binary64) ky) (*.f64 (*.f64 th th) (sqrt.f64 #s(literal 2 binary64))) (*.f64 ky (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 kx (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (exp.f64 (*.f64 (log.f64 th) #s(literal 3 binary64))))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))))
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(sin.f64 th)
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) ky) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))
Calls

2 calls:

14.0ms
(sin.f64 kx)
12.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
42.0%3(sin.f64 kx)
46.2%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes27.0ms (0.2%)

Memory
-21.4MiB live, 17.8MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) kx) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th)))))
(*.f64 (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 th) (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 #s(literal 1/12 binary64) kx))
(*.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 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -2 binary64) kx))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 kx kx)))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 th (*.f64 ky (fma.f64 (*.f64 (*.f64 th th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx))) #s(literal -1/6 binary64) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) #s(literal -2/3 binary64) #s(literal 2 binary64))))) (*.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 kx kx)) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 (*.f64 ky (sin.f64 th)) (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 (*.f64 th (sqrt.f64 #s(literal 2 binary64))) (fma.f64 ky (*.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) ky)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 kx kx) (fma.f64 (*.f64 kx kx) (fma.f64 kx (*.f64 kx #s(literal 4/45 binary64)) #s(literal -2/3 binary64)) #s(literal 2 binary64))))) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
(sin.f64 th)
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 ky kx))
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
46.2%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
20 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
Outputs
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(sin.f64 th)
(*.f64 (*.f64 ky (sin.f64 th)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
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
45.2%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes69.0ms (0.6%)

Memory
-8.1MiB live, 71.5MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
Outputs
(*.f64 th (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (sin.f64 ky) kx)))
(sin.f64 th)
Calls

7 calls:

29.0ms
kx
8.0ms
(sin.f64 kx)
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 ky)
6.0ms
ky
Results
AccuracySegmentsBranch
28.8%2(sin.f64 kx)
33.9%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))
29.8%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
29.8%2kx
34.2%2ky
34.6%2(sin.f64 ky)
36.9%2(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 60 to 44 computations (26.7% saved)

regimes31.0ms (0.3%)

Memory
14.3MiB live, 53.1MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
(sin.f64 th)
(/.f64 (fma.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))))) (*.f64 th (*.f64 th th))) (fma.f64 th (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(sin.f64 th)
Calls

5 calls:

7.0ms
(sin.f64 ky)
6.0ms
th
6.0ms
(sin.f64 th)
6.0ms
ky
6.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
30.9%2ky
31.3%2(sin.f64 ky)
30.3%2th
30.3%3(sin.f64 th)
32.4%2(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes53.0ms (0.4%)

Memory
-3.9MiB live, 113.8MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
(*.f64 (*.f64 th (*.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th))))
(/.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))
(/.f64 (-.f64 (*.f64 th th) (*.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) (*.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))) (-.f64 th (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))))))
(*.f64 (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th)))
(*.f64 (*.f64 ky th) (*.f64 (fma.f64 kx (*.f64 kx (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) kx)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 ky (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th) (*.f64 (fma.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th) (-.f64 (*.f64 th (*.f64 th (*.f64 th #s(literal -1/6 binary64)))) th))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (*.f64 kx kx) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) kx) (*.f64 th (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (*.f64 ky (*.f64 th th)) ky))))
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th)
Calls

9 calls:

8.0ms
(sin.f64 th)
6.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
5.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
5.0ms
(sin.f64 kx)
5.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
16.2%2(sin.f64 th)
13.7%1(sin.f64 kx)
16.9%3kx
13.7%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
16.0%2th
18.4%2ky
18.7%2(sin.f64 ky)
19.1%2(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
20.2%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes7.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(fma.f64 (*.f64 th th) (*.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (*.f64 th (*.f64 th #s(literal -1/6 binary64))) th th)
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
Calls

2 calls:

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

Compiled 24 to 17 computations (29.2% saved)

regimes52.0ms (0.4%)

Memory
1.9MiB live, 38.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)
(*.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th))
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) th) th) th)
Outputs
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
Calls

9 calls:

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

Compiled 69 to 51 computations (26.1% saved)

bsearch1.0ms (0%)

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

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

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

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
0.9999576192623659
0.9999999852660215
0.0ms
0.17445830511948066
0.27405897028259024
0.0ms
-0.048291314348565026
1.2607571160253564e-306
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000038289879372
0.0ms
0.9999576192623659
0.9999999852660215
0.0ms
0.17445830511948066
0.27405897028259024
0.0ms
-0.048291314348565026
1.2607571160253564e-306
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.9999576192623659
0.9999999852660215
0.0ms
0.17445830511948066
0.27405897028259024
0.0ms
-0.26447491516328725
-0.1686849108816048
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.9999576192623659
0.9999999852660215
0.0ms
0.17445830511948066
0.27405897028259024
0.0ms
-0.26447491516328725
-0.1686849108816048
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
5×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.9999576192623659
0.9999999852660215
0.0ms
0.045474565185616385
0.17445830511948066
0.0ms
-0.26447491516328725
-0.1686849108816048
0.0ms
-0.9807222747093287
-0.9797765149714143
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch96.0ms (0.8%)

Memory
-6.5MiB live, 71.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
54.0ms
5.1259419284391035e-8
0.4980014837924601
38.0ms
6.500634985888478e-175
4.0971832149772685e-174
Samples
52.0ms240×0valid
Compiler

Compiled 580 to 441 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-add: 23.0ms (50.3% of total)
ival-sin: 13.0ms (28.5% of total)
ival-pow2: 5.0ms (10.9% of total)
ival-div: 2.0ms (4.4% of total)
ival-sqrt: 2.0ms (4.4% of total)
ival-mult: 1.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.045474565185616385
0.17445830511948066
0.0ms
1.0144577166526438e-223
1.8105723131335174e-223
0.0ms
-0.7078850872730266
-0.6954553518412572
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.045474565185616385
0.17445830511948066
0.0ms
1.0144577166526438e-223
1.8105723131335174e-223
0.0ms
-0.7078850872730266
-0.6954553518412572
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.045474565185616385
0.17445830511948066
0.0ms
1.0144577166526438e-223
1.8105723131335174e-223
0.0ms
-0.7078850872730266
-0.6954553518412572
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.045474565185616385
0.17445830511948066
0.0ms
-0.1467226169552203
-0.048291314348565026
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
3×left-value
Steps
TimeLeftRight
0.0ms
2.0036245109549236e-75
1.9577463453354657e-70
0.0ms
4.603524143480966e-165
1.1053637980689251e-161
0.0ms
-0.07246029692432404
-0.07189591012813405
Compiler

Compiled 22 to 18 computations (18.2% saved)

bsearch113.0ms (1%)

Memory
-25.5MiB live, 60.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
50.0ms
1960113934.3420649
22789880780677.492
60.0ms
4.603524143480966e-165
1.1053637980689251e-161
Samples
100.0ms256×0valid
Compiler

Compiled 502 to 370 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-sin: 82.0ms (88.3% of total)
ival-pow2: 5.0ms (5.4% of total)
ival-div: 2.0ms (2.2% of total)
ival-mult: 2.0ms (2.2% of total)
ival-sqrt: 2.0ms (2.2% of total)
ival-add: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1960113934.3420649
22789880780677.492
1.0ms
4.603524143480966e-165
1.1053637980689251e-161
Compiler

Compiled 390 to 306 computations (21.5% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.00615617571343513
0.01884674087823684
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.00615617571343513
0.01884674087823684
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.00615617571343513
0.01884674087823684
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.00615617571343513
0.01884674087823684
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000419013374513
+inf
0.0ms
0.00615617571343513
0.01884674087823684
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
5.126577364927663e-11
0.00615617571343513
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
1.4745657793411857e-52
4.4594535594839996e-51
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
1.0809684001475494e-283
2.220526015969912e-281
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch34.0ms (0.3%)

Memory
-12.7MiB live, 26.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
1.1314647069004669e-166
8.303833370998707e-165
Samples
28.0ms112×0valid
Compiler

Compiled 182 to 130 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 5.0ms (52.1% of total)
ival-pow2: 2.0ms (20.8% of total)
ival-div: 1.0ms (10.4% of total)
ival-add: 1.0ms (10.4% of total)
ival-mult: 1.0ms (10.4% of total)
ival-sqrt: 1.0ms (10.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify42.0ms (0.4%)

Memory
1.4MiB live, 40.5MiB allocated
Algorithm
1×egg-herbie
Rules
98×*-commutative_binary64
14×+-commutative_binary64
8×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02271942
12841942
22911942
32951942
42971942
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4503419483385401/4503599627370496 binary64)) (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))))))
(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) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4503419483385401/4503599627370496 binary64)) (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 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 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (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 4503419483385401/4503599627370496 binary64)) (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 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 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (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 4503419483385401/4503599627370496 binary64)) (*.f64 (*.f64 (sin.f64 ky) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th)) (sqrt.f64 (/.f64 #s(literal 1 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)))))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))))))
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(if (<=.f64 (sin.f64 ky) #s(literal 5705583907211365/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky)))))))))
(if (<=.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #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 7737125245533627/154742504910672534362390528 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 ky ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4503419483385401/4503599627370496 binary64)) (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))) (sin.f64 th))))))
(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) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) 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 4503419483385401/4503599627370496 binary64)) (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (fma.f64 kx (*.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) kx))))))))
(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) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4503419483385401/4503599627370496 binary64)) (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 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 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) ky)) (sin.f64 th)))))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -2206763817411543/2251799813685248 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -5764607523034235/144115188075855872 binary64)) (*.f64 (*.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) 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 4503419483385401/4503599627370496 binary64)) (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 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 1 binary64)) (*.f64 (sin.f64 th) (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) 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 -2206763817411543/2251799813685248 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal -3602879701896397/18014398509481984 binary64)) (*.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 3602879701896397/18014398509481984 binary64)) (*.f64 (/.f64 (sin.f64 ky) (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 4503419483385401/4503599627370496 binary64)) (*.f64 th (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal -2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal -2 binary64))) #s(literal 1/2 binary64))))) (*.f64 (sin.f64 ky) (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 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 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1 binary64)) (sin.f64 th)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)))))))
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(if (<=.f64 (*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) #s(literal 8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th))
(if (<=.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) #s(literal 8371160993642713/41855804968213567224547853478906320725054875457247406540771499545716837934567817284890561672488119458109166910841919797858872862722356017328064756151166307827869405370407152286801072676024887272960758524035337792904616958075776435777990406039363527010043736240963055342423554029893064011082834640896 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (fma.f64 th (*.f64 (*.f64 th th) (fma.f64 #s(literal 1/120 binary64) (*.f64 th th) #s(literal -1/6 binary64))) th))
(if (<=.f64 (sin.f64 ky) #s(literal 5705583907211365/1037378892220248239628101965922790287753111558060609224998914332422663202853227036599926762236775948572049471652825197295598787768852943826971718708528490921765295450850377380921344 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th))) (fma.f64 th (*.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(*.f64 #s(literal -1/6 binary64) (*.f64 th (*.f64 th th)))

soundness2.0s (16.5%)

Memory
-135.5MiB live, 1 667.5MiB allocated
Rules
11 882×lower-fma.f64
11 882×lower-fma.f32
11 042×lower-fma.f64
11 042×lower-fma.f32
9 282×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05665934
118495538
266795447
083555196
045176
085171
1282147
01883146
09318744
130918482
081127903
01334
02234
16234
233834
3290234
0828424
046188
084182
1269177
01711174
07627427
124917003
257706965
081886673
039162
075153
1267142
01995127
02421598
17411550
227441481
376511481
080351353
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 3 873 to 1 621 computations (58.1% saved)

preprocess211.0ms (1.8%)

Memory
20.6MiB live, 414.4MiB allocated
Remove

(negabs ky)

(negabs th)

(abs kx)

Compiler

Compiled 4 012 to 534 computations (86.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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