Toniolo and Linder, Equation (3b), real

Time bar (total: 6.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze280.0ms (4.3%)

Memory
22.1MiB live, 300.8MiB allocated; 77ms collecting garbage
Algorithm
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)

sample1.5s (22.9%)

Memory
49.2MiB live, 1 863.2MiB allocated; 260ms collecting garbage
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 946.0ms
ival-sin: 570.0ms (60.3% of total)
ival-pow2: 164.0ms (17.3% of total)
ival-mult: 60.0ms (6.3% of total)
ival-div: 57.0ms (6% of total)
ival-sqrt: 53.0ms (5.6% of total)
ival-add: 36.0ms (3.8% of total)
ival-assert: 3.0ms (0.3% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

explain203.0ms (3.1%)

Memory
7.1MiB live, 334.6MiB allocated; 45ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
140-1(2.8679087934644018e-303 -2.4463072813401457e-156 9.492973468753692e+204)(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-rescue130
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))underflow61
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))underflow50
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))underflow13
Confusion
Predicted +Predicted -
+131
-0242
Precision
1.0
Recall
0.9285714285714286
Confusion?
Predicted +Predicted MaybePredicted -
+1301
-00242
Precision?
1.0
Recall?
0.9285714285714286
Freqs
test
numberfreq
0243
113
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
95.0ms512×0valid
Compiler

Compiled 152 to 43 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-sin: 40.0ms (55.5% of total)
ival-div: 13.0ms (18% of total)
ival-pow2: 10.0ms (13.9% of total)
ival-mult: 3.0ms (4.2% of total)
ival-sqrt: 3.0ms (4.2% of total)
ival-add: 2.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess295.0ms (4.5%)

Memory
-50.8MiB live, 244.4MiB allocated; 108ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046166
192163
2224163
3435163
4959163
53019163
01316
02216
13016
25316
311316
423816
558516
6234316
7758016
0812011
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
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 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
Symmetry

(abs kx)

(negabs ky)

(negabs th)

Compiler

Compiled 16 to 13 computations (18.8% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.7%
(*.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))
Compiler

Compiled 16 to 13 computations (18.8% saved)

series49.0ms (0.8%)

Memory
3.3MiB live, 48.2MiB allocated; 10ms collecting garbage
Counts
13 → 68
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th
Outputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (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)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (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))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole 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))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole 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))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (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))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2)))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx kx #s(hole binary64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (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))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* 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))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx ky #s(hole binary64 ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (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))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow ky 2)))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* 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)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole 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))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole 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))))))))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx th #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (sin th)))
Calls

9 calls:

TimeVariablePointExpression
21.0ms
kx
@-inf
((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
5.0ms
th
@inf
((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
5.0ms
ky
@0
((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
4.0ms
kx
@inf
((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
4.0ms
kx
@0
((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)

rewrite284.0ms (4.3%)

Memory
28.2MiB live, 303.4MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04322436
04482305
126952273
0114521933
Stop Event
iter limit
node limit
iter limit
Counts
81 → 164
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (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)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (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))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole 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))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole 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))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (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))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow kx 2)))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx kx #s(hole binary64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
#s(approx (pow (sin kx) 2) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (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))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* 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))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx ky #s(hole binary64 ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (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))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow ky 2)))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (pow (sin ky) 2) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* 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)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole 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))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole 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))))))))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx th #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (sin th)))
Outputs
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(sin.f64 ky)
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
ky
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))
(sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(fma.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(fma.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)))
(*.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(pow.f64 (exp.f64 (log.f64 (sin.f64 kx))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
kx
#s(literal 2 binary64)
(*.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))))
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(pow.f64 (exp.f64 (log.f64 (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64))))
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (*.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 th))) #s(literal -1/2 binary64))) (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(literal 1 binary64))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64)))))) #s(literal -1/2 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (sin.f64 ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (sin.f64 ky)) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64)))) (sin.f64 ky)) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (pow (sin kx) 2) (*.f64 kx kx))
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2/45 binary64) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))
#s(approx (pow (sin kx) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/315 binary64) (*.f64 kx kx) #s(literal 2/45 binary64)) (*.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))
#s(approx (sin kx) kx)
#s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx kx kx)
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (pow (sin kx) 2) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 ky ky) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (sin.f64 th)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))) (*.f64 ky ky))))) (*.f64 ky ky) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)))) (*.f64 ky ky)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (sin ky) ky)
#s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 ky ky)) #s(literal 1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx ky ky)
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (sin.f64 kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 kx)) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 ky ky)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)))) (sin.f64 kx)) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (pow (sin ky) 2) (*.f64 ky ky))
#s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (pow (sin ky) 2) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) (*.f64 ky ky)) #s(literal 1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (pow (sin ky) 2) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (sin th) th)
#s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
#s(approx (sin th) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx (sin th) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx th th)
#s(approx (sin th) (sin.f64 th))

eval28.0ms (0.4%)

Memory
-53.2MiB live, 53.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 4 471 to 910 computations (79.6% saved)

prune185.0ms (2.8%)

Memory
37.1MiB live, 281.2MiB allocated; 15ms collecting garbage
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1669175
Fresh000
Picked101
Done000
Total1679176
Accuracy
99.9%
Counts
176 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) (sin.f64 th))
87.8%
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))) (sin.f64 th))
43.1%
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
87.5%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
88.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
93.5%
(*.f64 (/.f64 (sin.f64 ky) (exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (sin.f64 th))
23.0%
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
96.6%
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))))
Compiler

Compiled 454 to 320 computations (29.5% saved)

series51.0ms (0.8%)

Memory
-24.7MiB live, 22.0MiB allocated; 3ms collecting garbage
Counts
11 → 58
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64)))
(sin.f64 ky)
ky
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
#s(literal 1 binary64)
(sin.f64 th)
th
Outputs
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (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)))))))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (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))))))))))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 1))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole 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))))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole 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))))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (sin ky)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (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))))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx kx #s(hole binary64 kx))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (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))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* 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))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx ky #s(hole binary64 ky))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (sin kx)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (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))))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* 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)))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole 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))))))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole 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))))))))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx th #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (sin th)))
Calls

9 calls:

TimeVariablePointExpression
38.0ms
kx
@inf
((* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin ky) ky (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx 1 (sin th) th)
2.0ms
kx
@-inf
((* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin ky) ky (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx 1 (sin th) th)
2.0ms
ky
@inf
((* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin ky) ky (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx 1 (sin th) th)
2.0ms
ky
@-inf
((* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin ky) ky (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx 1 (sin th) th)
2.0ms
th
@-inf
((* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin ky) ky (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx 1 (sin th) th)

rewrite239.0ms (3.6%)

Memory
29.2MiB live, 265.3MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03872237
03941948
124061916
0105581799
Stop Event
iter limit
node limit
iter limit
Counts
69 → 302
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64)))
(sin.f64 ky)
ky
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
#s(literal 1 binary64)
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (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)))))))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (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))))))))))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 1))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole 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))))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole 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))))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (sin ky)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (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))))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx kx #s(hole binary64 kx))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (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))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* 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))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx ky #s(hole binary64 ky))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (sin kx)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (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))))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* 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)))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole 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))))))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole 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))))))))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx th #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (sin th)))
Outputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(sin.f64 ky)
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
ky
(*.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (fabs.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (fabs.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))
(sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(+.f64 (cosh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sinh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (fabs.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (fabs.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))
(sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(+.f64 (cosh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sinh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
kx
#s(literal 1 binary64)
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (sin.f64 th))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (sin.f64 th)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (*.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 th))) #s(literal -1/2 binary64))) (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(literal 1 binary64))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (fma.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64)))))) #s(literal -1/2 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (sin.f64 ky))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (sin.f64 ky)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (sin.f64 ky)) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64)))) (sin.f64 ky)) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (sin.f64 ky))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (sin.f64 ky)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (sin.f64 ky)) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64)))) (sin.f64 ky)) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (sin kx) kx)
#s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx kx kx)
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 ky ky) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (sin.f64 th)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))) (*.f64 ky ky))))) (*.f64 ky ky) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (/.f64 ky (sin.f64 kx)))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)))) (*.f64 ky ky)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (sin ky) ky)
#s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 ky ky)) #s(literal 1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx ky ky)
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (sin.f64 kx))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (sin.f64 kx)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 kx)) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 ky ky)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)))) (sin.f64 kx)) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (sin.f64 kx))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (sin.f64 kx)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 kx)) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 ky ky)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)))) (sin.f64 kx)) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (sin th) th)
#s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
#s(approx (sin th) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx (sin th) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx th th)
#s(approx (sin th) (sin.f64 th))

eval23.0ms (0.3%)

Memory
-11.1MiB live, 35.4MiB allocated; 2ms collecting garbage
Compiler

Compiled 4 188 to 812 computations (80.6% saved)

prune341.0ms (5.2%)

Memory
-29.7MiB live, 402.8MiB allocated; 36ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1865191
Fresh538
Picked011
Done000
Total1919200
Accuracy
100.0%
Counts
200 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
99.2%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
94.7%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) (sin.f64 th))
87.8%
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))) (sin.f64 th))
76.2%
(*.f64 (/.f64 (sin.f64 ky) (+.f64 (cosh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sinh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (sin.f64 th))
87.5%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
98.0%
(*.f64 (/.f64 (sin.f64 ky) (exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
99.6%
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) (sin.f64 th))
Compiler

Compiled 357 to 247 computations (30.8% saved)

series20.0ms (0.3%)

Memory
38.9MiB live, 38.9MiB allocated; 0ms collecting garbage
Counts
12 → 67
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) (sin.f64 th))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky)))
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
#s(literal -1 binary64)
(sin.f64 th)
th
Outputs
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (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)))))))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (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))))))))))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 1))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole 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))))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole 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))))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 1))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole 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))))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole 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))))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* (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)))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* (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)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx kx #s(hole binary64 kx))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (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))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* 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))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (* 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))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (/ 1 (sin kx))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* (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)))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* (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)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx ky #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* 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)))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole 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))))))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole 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))))))))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx th #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (sin th)))
Calls

9 calls:

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

rewrite164.0ms (2.5%)

Memory
-4.9MiB live, 181.1MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04352929
04462556
127032532
081092383
Stop Event
iter limit
node limit
iter limit
Counts
79 → 216
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) (sin.f64 th))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky)))
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
#s(literal -1 binary64)
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (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)))))))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (+ (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))))))))))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 1))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole 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))))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole 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))))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 1))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole 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))))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole 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))))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* (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)))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* (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)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx kx #s(hole binary64 kx))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (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))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(hole binary64 (* 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))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(hole binary64 (* 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))))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (/ 1 (sin kx))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* (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)))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) #s(hole binary64 (+ (* (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)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx ky #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole binary64 (* 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)))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole 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))))))))))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) #s(hole 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))))))))))))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx th #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (sin th)))
Outputs
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) (sin.f64 th))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky)))
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))
(*.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)) (pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1/2 binary64)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64)))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(exp.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))))
(*.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (fabs.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (fabs.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))
(sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(+.f64 (cosh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sinh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
kx
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(sin.f64 ky)
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
ky
#s(literal -1 binary64)
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (sin.f64 th))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (sin.f64 th)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (*.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 th))) #s(literal -1/2 binary64))) (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) #s(literal 1 binary64))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (fma.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64)))))) #s(literal -1/2 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) #s(literal 1 binary64))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) (fma.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64)))))) #s(literal -1/2 binary64))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (fma.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 ky)) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal -3 binary64)))) (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 ky)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (*.f64 kx kx) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal -3 binary64)))) (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64)) (*.f64 kx kx)) #s(literal 1/2 binary64)) (sin.f64 ky)) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx)) (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/3 binary64)))) (sin.f64 ky)) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (sin kx) kx)
#s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx kx kx)
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky)))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 ky ky) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (sin.f64 th)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))) (*.f64 ky ky))))) (*.f64 ky ky) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (/.f64 ky (sin.f64 kx)))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)))) (*.f64 ky ky)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) (/.f64 ky (sin.f64 kx)))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (* (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (sin ky)) (*.f64 (fma.f64 (-.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (*.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)))) (*.f64 ky ky)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (*.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))) ky))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (pow.f64 (sin.f64 kx) #s(literal -1 binary64)))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (fma.f64 (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 kx)) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))))
#s(approx (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) -1) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 ky ky)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (sin.f64 kx)))) (*.f64 ky ky) (*.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal -1 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)) (*.f64 ky ky)) #s(literal 1/2 binary64)) (sin.f64 kx)) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 ky ky)) (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)))) (sin.f64 kx)) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (sin ky) ky)
#s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 ky ky)) #s(literal 1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx ky ky)
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (*.f64 th (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (sin th)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (sin th) th)
#s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
#s(approx (sin th) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx (sin th) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx th th)
#s(approx (sin th) (sin.f64 th))

eval58.0ms (0.9%)

Memory
6.3MiB live, 52.7MiB allocated; 3ms collecting garbage
Compiler

Compiled 9 360 to 1 260 computations (86.5% saved)

prune774.0ms (11.8%)

Memory
-0.4MiB live, 1 002.5MiB allocated; 76ms collecting garbage
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2223225
Fresh347
Picked101
Done011
Total2268234
Accuracy
100.0%
Counts
234 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
99.2%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
94.7%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) (sin.f64 th))
87.8%
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))) (sin.f64 th))
76.3%
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (+.f64 (cosh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sinh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)) (sin.f64 ky))) (sin.f64 th))
94.6%
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/2 binary64)) (sin.f64 ky))) (sin.f64 th))
97.9%
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)))) (sin.f64 ky))) (sin.f64 th))
Compiler

Compiled 417 to 265 computations (36.5% saved)

series342.0ms (5.2%)

Memory
0.1MiB live, 431.6MiB allocated; 94ms collecting garbage
Counts
11 → 71
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sin.f64 th)
th
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
Outputs
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow 1 1/4) (* (sqrt (/ 1 (sin ky))) (sin th)))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* -1/4 (* (pow 1 1/4) (* (* (pow kx 2) (sin th)) (sqrt (/ 1 (pow (sin ky) 5)))))) (* (pow 1 1/4) (* (sqrt (/ 1 (sin ky))) (sin th))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin ky))) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th)))) (* (pow 1 1/4) (* (* (pow kx 2) (* (sin th) (+ (* 1/96 (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4)))))) (sqrt (/ 1 (sin ky))))))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin ky))) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th)))) (* (pow kx 2) (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin ky))) (* (sin th) (+ (* 1/96 (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4))))))) (* (pow 1 1/4) (* (* (pow kx 2) (* (sin th) (- (+ (* -1/384 (/ (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4)))) (pow (sin ky) 2))) (* 1/2880 (- (+ (* -720 (* (pow (sin ky) 2) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 8)))))) (* 720 (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 240 (/ 1 (pow (sin ky) 6)))))) (* 1/384 (/ 1 (pow (sin ky) 6)))))) (sqrt (/ 1 (sin ky))))))))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* (pow 1 1/4) (sqrt (sin ky)))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* 1/4 (* (pow 1 1/4) (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3)))))) (* (pow 1 1/4) (sqrt (sin ky))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin ky))) (* (pow kx 2) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin ky) 3))))) (* (pow 1 1/4) (* (* (pow kx 2) (+ (* -1/96 (+ (* 8 (/ 1 (pow (sin ky) 2))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4))))) (sqrt (sin ky)))))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin ky))) (* (pow kx 2) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin ky) 3))))) (* (pow kx 2) (+ (* (pow 1 1/4) (* (sqrt (sin ky)) (+ (* -1/96 (+ (* 8 (/ 1 (pow (sin ky) 2))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4)))))) (* (pow 1 1/4) (* (* (pow kx 2) (+ (* -1/384 (/ (+ (* 8 (/ 1 (pow (sin ky) 2))) (* 12 (/ 1 (pow (sin ky) 4)))) (pow (sin ky) 2))) (+ (* 1/2880 (+ (* 32 (/ 1 (pow (sin ky) 2))) (+ (* 240 (/ 1 (pow (sin ky) 6))) (* 240 (/ 1 (pow (sin ky) 4)))))) (* 1/384 (/ 1 (pow (sin ky) 6)))))) (sqrt (sin ky)))))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx kx #s(hole binary64 kx))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow 1 1/4) (sqrt (sin ky)))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* -1/4 (* (pow 1 1/4) (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3)))))) (* (pow 1 1/4) (sqrt (sin ky))))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin ky))) (* (pow kx 2) (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin ky) 3))))) (* (pow 1 1/4) (* (* (pow kx 2) (+ (* 1/96 (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4))))) (sqrt (sin ky)))))))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin ky))) (* (pow kx 2) (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin ky) 3))))) (* (pow kx 2) (+ (* (pow 1 1/4) (* (sqrt (sin ky)) (+ (* 1/96 (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4)))))) (* (pow 1 1/4) (* (* (pow kx 2) (- (+ (* -1/384 (/ (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4)))) (pow (sin ky) 2))) (* 1/2880 (- (+ (* -720 (* (pow (sin ky) 2) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 8)))))) (* 720 (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 240 (/ 1 (pow (sin ky) 6)))))) (* 1/384 (/ 1 (pow (sin ky) 6))))) (sqrt (sin ky)))))))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sin th))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sin ky))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (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))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (sin th)))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* -1/4 (* (pow 1 1/4) (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (sin kx) 5)))))) (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (sin th))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (sin th))) (* (pow ky 2) (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow (sin kx) 5))) (sin th)))) (* (pow 1 1/4) (* (* (pow ky 2) (* (sin th) (+ (* 1/96 (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4)))))) (sqrt (/ 1 (sin kx))))))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (sin th))) (* (pow ky 2) (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow (sin kx) 5))) (sin th)))) (* (pow ky 2) (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (* (sin th) (+ (* 1/96 (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4))))))) (* (pow 1 1/4) (* (* (pow ky 2) (* (sin th) (- (+ (* -1/384 (/ (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4)))) (pow (sin kx) 2))) (* 1/2880 (- (+ (* -720 (* (pow (sin kx) 2) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 8)))))) (* 720 (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 240 (/ 1 (pow (sin kx) 6)))))) (* 1/384 (/ 1 (pow (sin kx) 6)))))) (sqrt (/ 1 (sin kx))))))))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* (pow 1 1/4) (sqrt (sin kx)))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* 1/4 (* (pow 1 1/4) (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 3)))))) (* (pow 1 1/4) (sqrt (sin kx))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin kx))) (* (pow ky 2) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 3))))) (* (pow 1 1/4) (* (* (pow ky 2) (+ (* -1/96 (+ (* 8 (/ 1 (pow (sin kx) 2))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4))))) (sqrt (sin kx)))))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin kx))) (* (pow ky 2) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 3))))) (* (pow ky 2) (+ (* (pow 1 1/4) (* (sqrt (sin kx)) (+ (* -1/96 (+ (* 8 (/ 1 (pow (sin kx) 2))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4)))))) (* (pow 1 1/4) (* (* (pow ky 2) (+ (* -1/384 (/ (+ (* 8 (/ 1 (pow (sin kx) 2))) (* 12 (/ 1 (pow (sin kx) 4)))) (pow (sin kx) 2))) (+ (* 1/2880 (+ (* 32 (/ 1 (pow (sin kx) 2))) (+ (* 240 (/ 1 (pow (sin kx) 6))) (* 240 (/ 1 (pow (sin kx) 4)))))) (* 1/384 (/ 1 (pow (sin kx) 6)))))) (sqrt (sin kx)))))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx ky #s(hole binary64 ky))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow 1 1/4) (* ky (sqrt (/ 1 (sin kx)))))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* ky (+ (* (pow 1 1/4) (sqrt (/ 1 (sin kx)))) (* (pow ky 2) (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (* -1/6 (* (pow 1 1/4) (sqrt (/ 1 (sin kx)))))))))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* ky (+ (* (pow 1 1/4) (sqrt (/ 1 (sin kx)))) (* (pow ky 2) (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (+ (* -1/6 (* (pow 1 1/4) (sqrt (/ 1 (sin kx))))) (* (pow ky 2) (+ (* 1/120 (* (pow 1 1/4) (sqrt (/ 1 (sin kx))))) (+ (* 1/24 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (+ (* 1/96 (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4))))))))))))))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* ky (+ (* (pow 1 1/4) (sqrt (/ 1 (sin kx)))) (* (pow ky 2) (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (+ (* -1/6 (* (pow 1 1/4) (sqrt (/ 1 (sin kx))))) (* (pow ky 2) (+ (* 1/120 (* (pow 1 1/4) (sqrt (/ 1 (sin kx))))) (+ (* 1/24 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (+ (* 1/96 (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4)))))) (* (pow ky 2) (+ (* -1/6 (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (+ (* 1/96 (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4))))))) (+ (* -1/480 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (+ (* -1/5040 (* (pow 1 1/4) (sqrt (/ 1 (sin kx))))) (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (- (+ (* -1/384 (/ (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4)))) (pow (sin kx) 2))) (* 1/2880 (- (+ (* -720 (* (pow (sin kx) 2) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 8)))))) (* 720 (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 240 (/ 1 (pow (sin kx) 6)))))) (* 1/384 (/ 1 (pow (sin kx) 6)))))))))))))))))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* 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)))))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole 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))))))))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole 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))))))))))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) th)))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* th (+ (* -1/6 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (pow th 2))) (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)) (* 1/120 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (pow th 2))))) (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)) (* (pow th 2) (+ (* -1/5040 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (pow th 2))) (* 1/120 (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)))))) (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx th #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (sin th)))
Calls

9 calls:

TimeVariablePointExpression
103.0ms
ky
@-inf
((* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin th) th (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))
86.0ms
kx
@-inf
((* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin th) th (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))
63.0ms
kx
@inf
((* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin th) th (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))
38.0ms
ky
@inf
((* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin th) th (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))
21.0ms
th
@inf
((* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin th) th (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))))

rewrite256.0ms (3.9%)

Memory
-15.3MiB live, 216.0MiB allocated; 16ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06294004
06423430
141423236
081803042
Stop Event
iter limit
node limit
iter limit
Counts
82 → 220
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sin.f64 th)
th
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (+ (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)))))))))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (+ (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))))))))))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow 1 1/4) (* (sqrt (/ 1 (sin ky))) (sin th)))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* -1/4 (* (pow 1 1/4) (* (* (pow kx 2) (sin th)) (sqrt (/ 1 (pow (sin ky) 5)))))) (* (pow 1 1/4) (* (sqrt (/ 1 (sin ky))) (sin th))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin ky))) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th)))) (* (pow 1 1/4) (* (* (pow kx 2) (* (sin th) (+ (* 1/96 (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4)))))) (sqrt (/ 1 (sin ky))))))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin ky))) (sin th))) (* (pow kx 2) (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow (sin ky) 5))) (sin th)))) (* (pow kx 2) (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin ky))) (* (sin th) (+ (* 1/96 (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4))))))) (* (pow 1 1/4) (* (* (pow kx 2) (* (sin th) (- (+ (* -1/384 (/ (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4)))) (pow (sin ky) 2))) (* 1/2880 (- (+ (* -720 (* (pow (sin ky) 2) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 8)))))) (* 720 (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 240 (/ 1 (pow (sin ky) 6)))))) (* 1/384 (/ 1 (pow (sin ky) 6)))))) (sqrt (/ 1 (sin ky))))))))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* (pow 1 1/4) (sqrt (sin ky)))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* 1/4 (* (pow 1 1/4) (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3)))))) (* (pow 1 1/4) (sqrt (sin ky))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin ky))) (* (pow kx 2) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin ky) 3))))) (* (pow 1 1/4) (* (* (pow kx 2) (+ (* -1/96 (+ (* 8 (/ 1 (pow (sin ky) 2))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4))))) (sqrt (sin ky)))))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin ky))) (* (pow kx 2) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin ky) 3))))) (* (pow kx 2) (+ (* (pow 1 1/4) (* (sqrt (sin ky)) (+ (* -1/96 (+ (* 8 (/ 1 (pow (sin ky) 2))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4)))))) (* (pow 1 1/4) (* (* (pow kx 2) (+ (* -1/384 (/ (+ (* 8 (/ 1 (pow (sin ky) 2))) (* 12 (/ 1 (pow (sin ky) 4)))) (pow (sin ky) 2))) (+ (* 1/2880 (+ (* 32 (/ 1 (pow (sin ky) 2))) (+ (* 240 (/ 1 (pow (sin ky) 6))) (* 240 (/ 1 (pow (sin ky) 4)))))) (* 1/384 (/ 1 (pow (sin ky) 6)))))) (sqrt (sin ky)))))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin kx) #s(hole binary64 kx))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (sin kx) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx kx #s(hole binary64 kx))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow 1 1/4) (sqrt (sin ky)))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* -1/4 (* (pow 1 1/4) (* (pow kx 2) (sqrt (/ 1 (pow (sin ky) 3)))))) (* (pow 1 1/4) (sqrt (sin ky))))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin ky))) (* (pow kx 2) (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin ky) 3))))) (* (pow 1 1/4) (* (* (pow kx 2) (+ (* 1/96 (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4))))) (sqrt (sin ky)))))))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin ky))) (* (pow kx 2) (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin ky) 3))))) (* (pow kx 2) (+ (* (pow 1 1/4) (* (sqrt (sin ky)) (+ (* 1/96 (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4))))) (* 1/32 (/ 1 (pow (sin ky) 4)))))) (* (pow 1 1/4) (* (* (pow kx 2) (- (+ (* -1/384 (/ (- (* 24 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 12 (/ 1 (pow (sin ky) 4)))) (pow (sin ky) 2))) (* 1/2880 (- (+ (* -720 (* (pow (sin ky) 2) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 8)))))) (* 720 (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (/ 1 (pow (sin ky) 6))))) (* 240 (/ 1 (pow (sin ky) 6)))))) (* 1/384 (/ 1 (pow (sin ky) 6))))) (sqrt (sin ky)))))))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sin th))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (pow (* 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (sin ky))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (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))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (sin th)))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* -1/4 (* (pow 1 1/4) (* (* (pow ky 2) (sin th)) (sqrt (/ 1 (pow (sin kx) 5)))))) (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (sin th))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (sin th))) (* (pow ky 2) (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow (sin kx) 5))) (sin th)))) (* (pow 1 1/4) (* (* (pow ky 2) (* (sin th) (+ (* 1/96 (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4)))))) (sqrt (/ 1 (sin kx))))))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (sin th))) (* (pow ky 2) (+ (* -1/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow (sin kx) 5))) (sin th)))) (* (pow ky 2) (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (* (sin th) (+ (* 1/96 (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4))))))) (* (pow 1 1/4) (* (* (pow ky 2) (* (sin th) (- (+ (* -1/384 (/ (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4)))) (pow (sin kx) 2))) (* 1/2880 (- (+ (* -720 (* (pow (sin kx) 2) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 8)))))) (* 720 (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 240 (/ 1 (pow (sin kx) 6)))))) (* 1/384 (/ 1 (pow (sin kx) 6)))))) (sqrt (/ 1 (sin kx))))))))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* (pow 1 1/4) (sqrt (sin kx)))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* 1/4 (* (pow 1 1/4) (* (pow ky 2) (sqrt (/ 1 (pow (sin kx) 3)))))) (* (pow 1 1/4) (sqrt (sin kx))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin kx))) (* (pow ky 2) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 3))))) (* (pow 1 1/4) (* (* (pow ky 2) (+ (* -1/96 (+ (* 8 (/ 1 (pow (sin kx) 2))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4))))) (sqrt (sin kx)))))))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow 1 1/4) (sqrt (sin kx))) (* (pow ky 2) (+ (* 1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 3))))) (* (pow ky 2) (+ (* (pow 1 1/4) (* (sqrt (sin kx)) (+ (* -1/96 (+ (* 8 (/ 1 (pow (sin kx) 2))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4)))))) (* (pow 1 1/4) (* (* (pow ky 2) (+ (* -1/384 (/ (+ (* 8 (/ 1 (pow (sin kx) 2))) (* 12 (/ 1 (pow (sin kx) 4)))) (pow (sin kx) 2))) (+ (* 1/2880 (+ (* 32 (/ 1 (pow (sin kx) 2))) (+ (* 240 (/ 1 (pow (sin kx) 6))) (* 240 (/ 1 (pow (sin kx) 4)))))) (* 1/384 (/ 1 (pow (sin kx) 6)))))) (sqrt (sin kx)))))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (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))))))))
#s(approx (sin ky) #s(hole binary64 ky))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (sin ky) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx ky #s(hole binary64 ky))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow 1 1/4) (* ky (sqrt (/ 1 (sin kx)))))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* ky (+ (* (pow 1 1/4) (sqrt (/ 1 (sin kx)))) (* (pow ky 2) (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (* -1/6 (* (pow 1 1/4) (sqrt (/ 1 (sin kx)))))))))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* ky (+ (* (pow 1 1/4) (sqrt (/ 1 (sin kx)))) (* (pow ky 2) (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (+ (* -1/6 (* (pow 1 1/4) (sqrt (/ 1 (sin kx))))) (* (pow ky 2) (+ (* 1/120 (* (pow 1 1/4) (sqrt (/ 1 (sin kx))))) (+ (* 1/24 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (+ (* 1/96 (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4))))))))))))))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* ky (+ (* (pow 1 1/4) (sqrt (/ 1 (sin kx)))) (* (pow ky 2) (+ (* -1/4 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (+ (* -1/6 (* (pow 1 1/4) (sqrt (/ 1 (sin kx))))) (* (pow ky 2) (+ (* 1/120 (* (pow 1 1/4) (sqrt (/ 1 (sin kx))))) (+ (* 1/24 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (+ (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (+ (* 1/96 (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4)))))) (* (pow ky 2) (+ (* -1/6 (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (+ (* 1/96 (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4))))) (* 1/32 (/ 1 (pow (sin kx) 4))))))) (+ (* -1/480 (* (pow 1 1/4) (sqrt (/ 1 (pow (sin kx) 5))))) (+ (* -1/5040 (* (pow 1 1/4) (sqrt (/ 1 (sin kx))))) (* (pow 1 1/4) (* (sqrt (/ 1 (sin kx))) (- (+ (* -1/384 (/ (- (* 24 (* (pow (sin kx) 2) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 12 (/ 1 (pow (sin kx) 4)))) (pow (sin kx) 2))) (* 1/2880 (- (+ (* -720 (* (pow (sin kx) 2) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 8)))))) (* 720 (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (/ 1 (pow (sin kx) 6))))) (* 240 (/ 1 (pow (sin kx) 6)))))) (* 1/384 (/ 1 (pow (sin kx) 6)))))))))))))))))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole binary64 (* 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)))))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole 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))))))))))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) #s(hole 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))))))))))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) th)))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* th (+ (* -1/6 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (pow th 2))) (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)) (* 1/120 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (pow th 2))))) (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)) (* (pow th 2) (+ (* -1/5040 (* (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4) (pow th 2))) (* 1/120 (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)))))) (pow (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))) 1/4)))))
#s(approx (sin th) #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (sin th) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx th #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (sin th)))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 ky)) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sin.f64 th)
th
(*.f64 (neg.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/8 binary64))) (fabs.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/8 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64)))
(sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (fabs.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)))
(sqrt.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(sqrt.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
kx
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(sin.f64 ky)
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
ky
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (sin.f64 th))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (fma.f64 (/.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (sin.f64 th)))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (fma.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (*.f64 (*.f64 (pow.f64 (*.f64 kx (sin.f64 ky)) #s(literal 2 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 th))) #s(literal -1/2 binary64))) (*.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))) (sin.f64 th)))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -5/2 binary64)) (*.f64 (*.f64 kx kx) (sin.f64 th))) (*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))) (sin.f64 th))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) #s(literal 1/96 binary64) (*.f64 #s(literal 1/32 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) (sin.f64 th)) (*.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -5/2 binary64)) (sin.f64 th)))) (*.f64 kx kx) (*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))) (sin.f64 th))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) #s(literal 1/96 binary64) (*.f64 #s(literal 1/32 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 kx kx) (sin.f64 th)) (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -720 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64)))) (*.f64 #s(literal 720 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64))))) (*.f64 #s(literal 240 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)))) #s(literal 1/2880 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/384 binary64))) (*.f64 #s(literal 1/384 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))))) (*.f64 kx kx) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -5/2 binary64)) (sin.f64 th)))) (*.f64 kx kx) (*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))) (sin.f64 th))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -3/2 binary64)) (*.f64 kx kx)) (*.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) #s(literal -1/96 binary64) (*.f64 #s(literal 1/32 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) (*.f64 kx kx)) (sqrt.f64 (sin.f64 ky))) #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -3/2 binary64)))) (*.f64 kx kx) (*.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) #s(literal -1/96 binary64) (*.f64 #s(literal 1/32 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) (sqrt.f64 (sin.f64 ky)) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 8 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/384 binary64) (fma.f64 (fma.f64 #s(literal 240 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (pow.f64 (sin.f64 ky) #s(literal -4 binary64))) (*.f64 #s(literal 32 binary64) (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))) #s(literal 1/2880 binary64) (*.f64 #s(literal 1/384 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64))))) (*.f64 kx kx)) (sqrt.f64 (sin.f64 ky))))) (*.f64 kx kx) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -3/2 binary64)))) (*.f64 kx kx) (*.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)) (*.f64 kx kx)) (sin.f64 ky)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 kx kx) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64))) (sin.f64 ky))) (*.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (sin kx) kx)
#s(approx (sin kx) (*.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 kx kx) #s(literal 1/120 binary64)) (*.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx kx kx)
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -3/2 binary64)) (*.f64 kx kx)) (*.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) #s(literal 1/96 binary64) (*.f64 #s(literal 1/32 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) (*.f64 kx kx)) (sqrt.f64 (sin.f64 ky))) #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -3/2 binary64)))) (*.f64 kx kx) (*.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64))))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sin.f64 ky)) (fma.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) #s(literal 1/96 binary64) (*.f64 #s(literal 1/32 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) (*.f64 (*.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -720 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) (fma.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) (pow.f64 (sin.f64 ky) #s(literal -8 binary64)))) (*.f64 #s(literal 720 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64))))) (*.f64 #s(literal 240 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)))) #s(literal 1/2880 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 ky) #s(literal -4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/384 binary64))) (*.f64 #s(literal 1/384 binary64) (pow.f64 (sin.f64 ky) #s(literal -6 binary64)))) (*.f64 kx kx)) (sqrt.f64 (sin.f64 ky))))) (*.f64 kx kx) (*.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal -3/2 binary64)))) (*.f64 kx kx) (*.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 1 binary64))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 th)))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64)) (sin.f64 ky)))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (/.f64 (*.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (*.f64 ky ky) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (sin.f64 th)) (fma.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))) (*.f64 ky ky) (*.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)))))) (*.f64 ky ky) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 th)))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) (sin.f64 th)) #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -5/2 binary64)) (*.f64 (*.f64 ky ky) (sin.f64 th))))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 kx) #s(literal -4 binary64)))) #s(literal 1/96 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/32 binary64))) (sin.f64 th)) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -5/2 binary64)) (sin.f64 th)))) (*.f64 ky ky) (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 th))))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 kx) #s(literal -4 binary64)))) #s(literal 1/96 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/32 binary64))) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 ky ky) (sin.f64 th)) (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -720 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64)))) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) #s(literal 720 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 240 binary64))) #s(literal 1/2880 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 kx) #s(literal -4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/384 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 1/384 binary64)))) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64))))) (*.f64 ky ky) (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -5/2 binary64)) (sin.f64 th)))) (*.f64 ky ky) (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (sin.f64 th))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 1 binary64)))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -3/2 binary64)) (*.f64 ky ky)) (*.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 1 binary64))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 12 binary64))) #s(literal -1/96 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/32 binary64))) (*.f64 ky ky)) (sqrt.f64 (sin.f64 kx))) #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal -3/2 binary64)))) (*.f64 ky ky) (*.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 1 binary64))))
#s(approx (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 12 binary64))) #s(literal -1/96 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/32 binary64))) (sqrt.f64 (sin.f64 kx)) (*.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 12 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/384 binary64) (fma.f64 (fma.f64 #s(literal 240 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) (pow.f64 (sin.f64 kx) #s(literal -4 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 32 binary64))) #s(literal 1/2880 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 1/384 binary64)))) (*.f64 ky ky)) (sqrt.f64 (sin.f64 kx))))) (*.f64 ky ky) (*.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal -3/2 binary64)))) (*.f64 ky ky) (*.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 1 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64)) (*.f64 ky ky)) (sin.f64 kx)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 ky ky) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx))) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -2 binary64)) #s(literal 1/4 binary64) #s(literal 1/3 binary64))) (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (sin ky) ky)
#s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 ky ky) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 ky ky)) #s(literal 1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx ky ky)
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) ky) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal -5/2 binary64)))) (*.f64 ky ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) #s(literal 1 binary64))) ky))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal -5/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 kx) #s(literal -4 binary64)))) #s(literal 1/96 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/32 binary64))) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 1/24 binary64) (pow.f64 (sin.f64 kx) #s(literal -5/2 binary64))))) (*.f64 ky ky) (*.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64))))) (*.f64 ky ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) #s(literal 1 binary64))) ky))
#s(approx (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal -5/2 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (sin.f64 kx) #s(literal -5/2 binary64)) (fma.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 kx) #s(literal -4 binary64)))) #s(literal 1/96 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/32 binary64))) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/480 binary64) (pow.f64 (sin.f64 kx) #s(literal -5/2 binary64)) (fma.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 (-.f64 (fma.f64 (*.f64 #s(literal -720 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64)))) (*.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) #s(literal 720 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 240 binary64))) #s(literal 1/2880 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 kx) #s(literal -4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/384 binary64))) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 1/384 binary64))) (*.f64 #s(literal -1/5040 binary64) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)))))) (*.f64 ky ky) (*.f64 (*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 (*.f64 #s(literal 24 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (*.f64 #s(literal -12 binary64) (pow.f64 (sin.f64 kx) #s(literal -4 binary64)))) #s(literal 1/96 binary64) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/32 binary64))))))) (*.f64 ky ky) (*.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64))))) (*.f64 ky ky) (*.f64 (pow.f64 (sin.f64 kx) #s(literal -1/2 binary64)) #s(literal 1 binary64))) ky))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (*.f64 (*.f64 (sin.f64 ky) th) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64))))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (*.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (* (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/ (sin ky) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (*.f64 th th) (sin.f64 ky))) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)))) (*.f64 th th) (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (sin.f64 ky))) th))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64)) th))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (fma.f64 (*.f64 (*.f64 th th) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64))) #s(literal -1/6 binary64) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64))) th))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 1/120 binary64)) (*.f64 th th) (*.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal -1/6 binary64))) (*.f64 th th) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64))) th))
#s(approx (/ (sin th) (sqrt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64))) (*.f64 th th) (*.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 1/120 binary64))) (*.f64 th th) (*.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal -1/6 binary64))) (*.f64 th th) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/4 binary64))) th))
#s(approx (sin th) th)
#s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
#s(approx (sin th) (*.f64 (fma.f64 (-.f64 (*.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx (sin th) (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th))
#s(approx th th)
#s(approx (sin th) (sin.f64 th))

eval66.0ms (1%)

Memory
25.6MiB live, 71.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 12 446 to 1 535 computations (87.7% saved)

prune1.2s (18.8%)

Memory
37.0MiB live, 1 497.6MiB allocated; 149ms collecting garbage
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3953398
Fresh246
Picked011
Done011
Total3979406
Accuracy
100.0%
Counts
406 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.8%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
94.2%
(*.f64 (/.f64 (sin.f64 th) (pow.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
99.2%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64)))))
99.2%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
87.6%
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
94.7%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) (sin.f64 th))
87.8%
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))) (sin.f64 th))
76.3%
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (+.f64 (cosh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sinh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)) (sin.f64 ky))) (sin.f64 th))
Compiler

Compiled 780 to 293 computations (62.4% saved)

regimes55.0ms (0.8%)

Memory
-2.2MiB live, 91.8MiB allocated; 7ms collecting garbage
Accuracy

Total -52.0b remaining (-25057%)

Threshold costs -52b (-25057%)

Counts
21 → 1
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64)) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (exp.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
(*.f64 (/.f64 (sin.f64 ky) (exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/2 binary64)) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1/2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.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) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (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 th) (pow.f64 (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (+.f64 (cosh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sinh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (+.f64 (cosh.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)))) (sin.f64 ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (pow (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) 1)) (*.f64 (pow.f64 (+.f64 (cosh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sinh.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) #s(literal -1 binary64)) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sqrt.f64 (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) (sin.f64 th))
Calls

9 calls:

9.0ms
(sin.f64 ky)
7.0ms
ky
6.0ms
th
6.0ms
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))
Results
AccuracySegmentsBranch
99.7%1(sin.f64 th)
99.7%1(sin.f64 kx)
99.7%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.7%1(sin.f64 ky)
99.7%1(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.7%1(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
99.7%1kx
99.7%1ky
99.7%1th
Compiler

Compiled 42 to 51 computations (-21.4% saved)

simplify46.0ms (0.7%)

Memory
-16.0MiB live, 30.6MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11313
21613
32413
44713
522013
6213913
7525513
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))) (sin.f64 th))

derivations33.0ms (0.5%)

Memory
-11.7MiB live, 35.0MiB allocated; 2ms collecting garbage
Stop Event
fuel
Compiler

Compiled 13 to 11 computations (15.4% saved)

preprocess34.0ms (0.5%)

Memory
7.6MiB live, 53.7MiB allocated; 3ms collecting garbage
Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 136 to 114 computations (16.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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