Toniolo and Linder, Equation (3b), real

Time bar (total: 6.9s)

start0.0ms (0%)

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

analyze281.0ms (4.1%)

Memory
-6.8MiB live, 460.9MiB allocated; 180ms 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 (22.4%)

Memory
-4.1MiB live, 3 419.8MiB allocated; 338ms collecting garbage
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 939.0ms
ival-sin: 600.0ms (63.9% of total)
ival-pow2: 171.0ms (18.2% of total)
ival-sqrt: 65.0ms (6.9% of total)
ival-div!: 40.0ms (4.3% of total)
ival-mult!: 40.0ms (4.3% of total)
ival-add!: 21.0ms (2.2% of total)
adjust: 2.0ms (0.2% of total)
Bogosity

preprocess54.0ms (0.8%)

Memory
6.5MiB live, 48.5MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
046166
1142163
2566163
33361163
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(*.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))
Symmetry

(abs kx)

(negabs ky)

(negabs th)

Compiler

Compiled 30 to 26 computations (13.3% saved)

series81.0ms (1.2%)

Memory
28.4MiB live, 146.0MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04172959
Stop Event
iter-limit
Counts
13 → 63
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)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#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)) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (pow (sin kx) 2) (pow.f64 kx #s(literal 2 binary64)))
#s(approx (pow (sin kx) 2) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (pow (sin kx) 2) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (pow (sin kx) 2) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (sin kx) kx)
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (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 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 ky (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sin ky) ky)
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))
#s(approx (pow (sin ky) 2) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (pow (sin ky) 2) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (pow (sin ky) 2) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (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 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (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 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (sin th) th)
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))))
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (sin th) (sin.f64 th))
Calls

9 calls:

TimeVariablePointExpression
22.0ms
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)
9.0ms
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
@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)
3.0ms
ky
@-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)

rewrite83.0ms (1.2%)

Memory
25.8MiB live, 109.0MiB allocated; 31ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01366
02266
16966
048051
1159551
Stop Event
saturated
iter-limit
iter-limit
unsound
iter-limit
Counts
13 → 79
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th
Outputs
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (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 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.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 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (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)))
(neg.f64 (/.f64 (sin.f64 ky) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sin.f64 ky)
ky
(pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))
(fabs.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(fabs.f64 (hypot.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)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.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 (neg.f64 (sin.f64 kx)) (fabs.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)) (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) (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) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(neg.f64 (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))
(fma.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
(fma.f64 (sin.f64 kx) (sin.f64 kx) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (sin.f64 ky) (sin.f64 ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (*.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx)))
(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))
(-.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(*.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)))
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(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))))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(*.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(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))))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(sin.f64 th)
th

eval63.0ms (0.9%)

Memory
-18.7MiB live, 45.8MiB allocated; 55ms collecting garbage
Compiler

Compiled 2 533 to 786 computations (69% saved)

prune39.0ms (0.6%)

Memory
-6.4MiB live, 28.0MiB allocated; 30ms collecting garbage
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New11716133
Fresh000
Picked101
Done000
Total11816134
Accuracy
100.0%
Counts
134 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.0%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
54.7%
(*.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))))) #s(approx (sin th) th))
47.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
75.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
87.3%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
44.1%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
40.3%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
53.8%
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
95.9%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
99.4%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
35.2%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
45.3%
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
52.1%
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
33.4%
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
Compiler

Compiled 536 to 498 computations (7.1% saved)

series79.0ms (1.1%)

Memory
30.2MiB live, 113.1MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05693713
Stop Event
iter-limit
Counts
29 → 85
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.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)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64))))
#s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))
(pow.f64 ky #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(literal 1 binary64)
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
Outputs
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sin kx) kx)
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) ky (*.f64 #s(literal 1/120 binary64) ky)))) (*.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) ky (fma.f64 #s(literal 1/720 binary64) ky (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) ky (*.f64 #s(literal 1/120 binary64) ky))))))) (fma.f64 #s(literal -1/36 binary64) ky (*.f64 #s(literal 1/120 binary64) ky)))) (*.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (pow (sin kx) 2) (pow.f64 kx #s(literal 2 binary64)))
#s(approx (pow (sin kx) 2) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (pow (sin kx) 2) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (pow (sin kx) 2) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#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)) (+.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 kx #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (sqrt (pow (sin kx) 2)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (pow (sin kx) 2) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 ky (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sin ky) ky)
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))
#s(approx (pow (sin ky) 2) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (pow (sin ky) 2) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2/45 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/3 binary64))))))
#s(approx (pow (sin ky) 2) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/315 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/3 binary64))))))
#s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th)))
#s(approx (* (sin th) (sin ky)) (*.f64 ky (+.f64 (sin.f64 th) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))))))
#s(approx (* (sin th) (sin ky)) (*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))))))))
#s(approx (* (sin th) (sin ky)) (*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 th)))))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (sin th) th)
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))))
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky)))
#s(approx (* (sin th) (sin ky)) (*.f64 th (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))))))
#s(approx (* (sin th) (sin ky)) (*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))))))))
#s(approx (* (sin th) (sin ky)) (*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
#s(approx (sin th) (sin.f64 th))
Calls

9 calls:

TimeVariablePointExpression
23.0ms
ky
@-inf
((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (sqrt (pow (sin kx) 2)) (pow (sin kx) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (pow ky 2) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
6.0ms
kx
@inf
((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (sqrt (pow (sin kx) 2)) (pow (sin kx) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (pow ky 2) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
4.0ms
ky
@0
((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (sqrt (pow (sin kx) 2)) (pow (sin kx) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (pow ky 2) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
4.0ms
ky
@inf
((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (sqrt (pow (sin kx) 2)) (pow (sin kx) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (pow ky 2) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
3.0ms
kx
@-inf
((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (sqrt (pow (sin kx) 2)) (pow (sin kx) 2) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (pow ky 2) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))

rewrite319.0ms (4.6%)

Memory
30.5MiB live, 193.5MiB allocated; 112ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
036258
062231
1244217
21879217
08368217
127603217
Stop Event
saturated
node-limit
iter-limit
Counts
29 → 787
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.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)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64))))))
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64))))
#s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))
(pow.f64 ky #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(literal 1 binary64)
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (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 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 1 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))))) #s(literal -4 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky)))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 1 binary64))) (*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))) (*.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 4 binary64)))
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ky
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kx
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th
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(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (sin.f64 ky))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (fabs.f64 (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))) (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 ky))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))))
(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))) (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 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (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))) (neg.f64 (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))) (neg.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 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (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))) (neg.f64 (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))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))))
(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)) (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 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (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)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.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)) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (fabs.f64 (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)) (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 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (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)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.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 (sin.f64 kx) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))))
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (fabs.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) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 (fabs.f64 (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) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))

eval140.0ms (2%)

Memory
-14.5MiB live, 171.4MiB allocated; 75ms collecting garbage
Compiler

Compiled 10 341 to 2 882 computations (72.1% saved)

prune51.0ms (0.7%)

Memory
33.0MiB live, 89.0MiB allocated; 9ms collecting garbage
Pruning

46 alts after pruning (44 fresh and 2 done)

PrunedKeptTotal
New76837805
Fresh4711
Picked325
Done000
Total77546821
Accuracy
100.0%
Counts
821 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
96.0%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
39.4%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
56.3%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
62.4%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
39.1%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
75.8%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)))) (sin.f64 th))
54.7%
(*.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))))) #s(approx (sin th) th))
29.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
33.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
87.3%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
22.7%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
23.1%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
22.8%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
30.7%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
30.4%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
18.4%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (sin.f64 th))
41.9%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
54.2%
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx))) (sin.f64 th))
66.0%
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
99.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
41.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
75.7%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
95.9%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
39.4%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
45.1%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
50.4%
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
62.1%
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
52.6%
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
36.7%
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
41.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
41.8%
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
20.2%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
20.4%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
21.6%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
21.7%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
26.1%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
25.7%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
36.6%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
15.9%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
23.2%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
45.3%
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
52.1%
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
33.4%
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
Compiler

Compiled 1 726 to 1 622 computations (6% saved)

series54.0ms (0.8%)

Memory
-6.6MiB live, 84.7MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06024329
Stop Event
iter-limit
Counts
27 → 82
Calls
Call 1
Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sin.f64 th)
th
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(/.f64 ky kx)
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (sin ky) ky)
(hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
#s(literal 1 binary64)
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))
(fabs.f64 (sin.f64 kx))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(approx (sin th) th) (sin.f64 ky))
#s(approx (sin th) th)
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
Outputs
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sin kx) kx)
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) ky (*.f64 #s(literal 1/120 binary64) ky)))) (*.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) ky (fma.f64 #s(literal 1/720 binary64) ky (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) ky (*.f64 #s(literal 1/120 binary64) ky))))))) (fma.f64 #s(literal -1/36 binary64) ky (*.f64 #s(literal 1/120 binary64) ky)))) (*.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (fabs (sin kx)) (fabs.f64 (sin.f64 kx)))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sin ky) ky)
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 ky (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th)))
#s(approx (* (sin th) (sin ky)) (*.f64 ky (+.f64 (sin.f64 th) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))))))
#s(approx (* (sin th) (sin ky)) (*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th))))))))
#s(approx (* (sin th) (sin ky)) (*.f64 ky (+.f64 (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (*.f64 #s(literal 1/120 binary64) (sin.f64 th)))))))))
#s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) (sin.f64 th)))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (sin th) th)
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))))
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky)))
#s(approx (* (sin th) (sin ky)) (*.f64 th (+.f64 (sin.f64 ky) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))))))
#s(approx (* (sin th) (sin ky)) (*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky))))))))
#s(approx (* (sin th) (sin ky)) (*.f64 th (+.f64 (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (*.f64 #s(literal 1/120 binary64) (sin.f64 ky)))))))))
#s(approx (sin th) (sin.f64 th))
Calls

9 calls:

TimeVariablePointExpression
8.0ms
kx
@0
((* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin ky) ky (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sin th) (sin ky)) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin kx)) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (sin th) (sin ky)) (sin th) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
6.0ms
th
@-inf
((* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin ky) ky (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sin th) (sin ky)) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin kx)) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (sin th) (sin ky)) (sin th) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
4.0ms
ky
@0
((* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin ky) ky (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sin th) (sin ky)) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin kx)) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (sin th) (sin ky)) (sin th) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
4.0ms
ky
@-inf
((* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin ky) ky (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sin th) (sin ky)) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin kx)) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (sin th) (sin ky)) (sin th) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))
4.0ms
ky
@inf
((* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin ky) ky (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/ ky (sqrt (pow (sin kx) 2))) (/ ky kx) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (sin th) (sin ky)) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin kx)) (* (* (sin th) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* (sin th) (sin ky)) (sin th) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))))

rewrite193.0ms (2.8%)

Memory
-54.6MiB live, 79.8MiB allocated; 147ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038232
063197
1241197
01841197
16281197
Stop Event
saturated
iter-limit
node-limit
iter-limit
Counts
27 → 279
Calls
Call 1
Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sin.f64 th)
th
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(/.f64 ky kx)
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (sin ky) ky)
(hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
#s(literal 1 binary64)
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))
(fabs.f64 (sin.f64 kx))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(approx (sin th) th) (sin.f64 ky))
#s(approx (sin th) th)
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
Outputs
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sin.f64 ky)
ky
(*.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) #s(literal -1 binary64)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sin.f64 th)
th
(pow.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))
(fabs.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(fabs.f64 (hypot.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))) (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 (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))) (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 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))) (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 (neg.f64 (sin.f64 kx))) (fabs.f64 (fabs.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))) (neg.f64 (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))) (neg.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))) (fabs.f64 (fabs.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))) (neg.f64 (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))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.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)) (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 (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)) (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)) (fabs.f64 (fabs.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)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.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 (fabs.f64 (sin.f64 kx)) (fabs.f64 (fabs.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)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.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 (sin.f64 kx) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (fabs.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) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (fabs.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))
(sin.f64 kx)
kx
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(*.f64 (/.f64 #s(literal 1 binary64) kx) ky)
(*.f64 (neg.f64 ky) (/.f64 #s(literal 1 binary64) (neg.f64 kx)))
(*.f64 #s(literal 1 binary64) (/.f64 ky kx))
(*.f64 ky (/.f64 #s(literal 1 binary64) kx))
(/.f64 (*.f64 ky #s(literal 1 binary64)) kx)
(/.f64 (neg.f64 (neg.f64 ky)) (neg.f64 (neg.f64 kx)))
(/.f64 (neg.f64 ky) (neg.f64 kx))
(/.f64 ky kx)
(neg.f64 (/.f64 ky (neg.f64 kx)))
(neg.f64 (/.f64 (neg.f64 ky) kx))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) (neg.f64 #s(approx (sin ky) ky))) (neg.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 (neg.f64 #s(approx (sin ky) ky)) (sin.f64 th)) (neg.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky))) (neg.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky))
(*.f64 (neg.f64 #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(approx (sin ky) ky) #s(literal 1 binary64)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(/.f64 (neg.f64 (neg.f64 #s(approx (sin ky) ky))) (neg.f64 (neg.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))))
(/.f64 (neg.f64 #s(approx (sin ky) ky)) (neg.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(neg.f64 (/.f64 #s(approx (sin ky) ky) (neg.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
#s(approx (sin ky) ky)
(pow.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(fabs.f64 (neg.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(fabs.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 #s(approx (sin ky) ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 #s(approx (sin ky) ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 #s(approx (sin ky) ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 #s(approx (sin ky) ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 #s(approx (sin ky) ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (fabs.f64 #s(approx (sin ky) ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 #s(approx (sin ky) ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 #s(approx (sin ky) ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 #s(approx (sin ky) ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 #s(approx (sin ky) ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 #s(approx (sin ky) ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 #s(approx (sin ky) ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 #s(approx (sin ky) ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 #s(approx (sin ky) ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 #s(approx (sin ky) ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 #s(approx (sin ky) ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 #s(approx (sin ky) ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 #s(approx (sin ky) ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 #s(approx (sin ky) ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 #s(approx (sin ky) ky)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) #s(approx (sin ky) ky))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 #s(approx (sin ky) ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 #s(approx (sin ky) ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 #s(approx (sin ky) ky))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 #s(approx (sin ky) ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 #s(approx (sin ky) ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) #s(approx (sin ky) ky))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 #s(approx (sin ky) ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 #s(approx (sin ky) ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 #s(approx (sin ky) ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 #s(approx (sin ky) ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 #s(approx (sin ky) ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 #s(approx (sin ky) ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 #s(approx (sin ky) ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) #s(approx (sin ky) ky))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 #s(approx (sin ky) ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 #s(approx (sin ky) ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.f64 #s(approx (sin ky) ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 #s(approx (sin ky) ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 #s(approx (sin ky) ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) #s(approx (sin ky) ky))
(hypot.f64 #s(approx (sin ky) ky) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 #s(approx (sin ky) ky) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 #s(approx (sin ky) ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 #s(approx (sin ky) ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (fabs.f64 (fabs.f64 #s(approx (sin ky) ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 #s(approx (sin ky) ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 #s(approx (sin ky) ky))))
(hypot.f64 (sin.f64 kx) (fabs.f64 #s(approx (sin ky) ky)))
(hypot.f64 (sin.f64 kx) (neg.f64 #s(approx (sin ky) ky)))
(hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal -1 binary64)) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) (*.f64 (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) (*.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 1 binary64))
(*.f64 (sin.f64 th) (*.f64 (sin.f64 ky) #s(literal 1 binary64)))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) (sin.f64 th))
(/.f64 (*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky)))) #s(literal -2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 2 binary64))
(-.f64 (/.f64 (cos.f64 (-.f64 th ky)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 th ky)) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(pow.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))))
#s(literal 1 binary64)
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 kx))))
(fabs.f64 (neg.f64 (fabs.f64 (sin.f64 kx))))
(fabs.f64 (neg.f64 (sin.f64 kx)))
(fabs.f64 (fabs.f64 (sin.f64 kx)))
(fabs.f64 (sin.f64 kx))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(approx (sin th) th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 (sin.f64 ky) #s(approx (sin th) th)))
(*.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(approx (sin th) th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 ky) (*.f64 #s(approx (sin th) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) #s(literal -1 binary64)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 #s(approx (sin th) th) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 ky) #s(approx (sin th) th))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) #s(literal 1 binary64))
(*.f64 #s(approx (sin th) th) (*.f64 (sin.f64 ky) #s(literal 1 binary64)))
(*.f64 #s(approx (sin th) th) (sin.f64 ky))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 ky) #s(approx (sin th) th)))
(*.f64 (sin.f64 ky) (*.f64 #s(approx (sin th) th) #s(literal 1 binary64)))
(*.f64 (sin.f64 ky) #s(approx (sin th) th))
(/.f64 (*.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) #s(literal 2 binary64)) #s(literal 2 binary64))
#s(approx (sin th) th)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))

eval66.0ms (1%)

Memory
25.7MiB live, 78.4MiB allocated; 13ms collecting garbage
Compiler

Compiled 6 168 to 1 601 computations (74% saved)

prune49.0ms (0.7%)

Memory
-12.4MiB live, 79.9MiB allocated; 7ms collecting garbage
Pruning

55 alts after pruning (51 fresh and 4 done)

PrunedKeptTotal
New40925434
Fresh132639
Picked325
Done022
Total42555480
Accuracy
100.0%
Counts
480 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
96.0%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
39.4%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
62.3%
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
52.6%
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
56.3%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
62.4%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
39.1%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
54.7%
(*.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))))) #s(approx (sin th) th))
29.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
33.7%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
87.3%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
23.1%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
22.8%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
30.7%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
30.4%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
18.4%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (sin.f64 th))
39.0%
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
51.4%
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
33.9%
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
99.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
65.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
41.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
41.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
14.7%
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
75.7%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
95.9%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
22.0%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
45.1%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
62.1%
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
37.2%
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
41.4%
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
27.8%
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
28.7%
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
36.7%
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
75.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
41.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
56.3%
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
20.4%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
21.7%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
26.1%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
36.6%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
15.9%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
23.2%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
17.9%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
18.1%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
23.2%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
21.8%
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
34.2%
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
52.3%
(*.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
62.0%
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
61.9%
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
45.3%
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 1 981 to 1 835 computations (7.4% saved)

series58.0ms (0.8%)

Memory
-33.0MiB live, 66.1MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05764263
Stop Event
iter-limit
Counts
34 → 81
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (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
(sin.f64 th)
th
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(/.f64 ky kx)
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 th #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (sin ky) ky)
(hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))
(fabs.f64 (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx)))
(hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))
#s(approx (sin kx) kx)
Outputs
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (*.f64 (sin.f64 ky) (sin.f64 th))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 kx #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
#s(approx (sin kx) kx)
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64))))))
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 kx #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (sin.f64 ky)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 ky) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 ky) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/36 binary64) ky (*.f64 #s(literal 1/120 binary64) ky)))) (*.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) ky (fma.f64 #s(literal 1/720 binary64) ky (*.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1/36 binary64) ky (*.f64 #s(literal 1/120 binary64) ky))))))) (fma.f64 #s(literal -1/36 binary64) ky (*.f64 #s(literal 1/120 binary64) ky)))) (*.f64 #s(literal -1/6 binary64) ky)))) kx))
#s(approx (fabs (sin kx)) (fabs.f64 (sin.f64 kx)))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (/.f64 (sin.f64 th) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (sin.f64 th)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sin.f64 th) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/4 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 (sin.f64 th) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 5 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 ky #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (+.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))))
#s(approx (sin ky) ky)
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 ky #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 ky #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 ky (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 ky (fma.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 ky #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 ky #s(literal 2 binary64)) (fma.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 2/45 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64))))) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (sin ky)) (*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (/.f64 th (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (*.f64 th (fma.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th)) (*.f64 th (fma.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 th #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (*.f64 #s(literal 1/120 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (*.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))))
#s(approx (sin th) th)
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))))
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 th #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 th #s(literal 2 binary64))))) #s(literal 1/6 binary64))))))
#s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64))
#s(approx (+ 1 (* -1/6 (pow th 2))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
#s(approx (* -1/6 (pow th 2)) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))
#s(approx (pow th 2) (pow.f64 th #s(literal 2 binary64)))
#s(approx (sin th) (sin.f64 th))
#s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))
#s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))
#s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64)))))))
Calls

9 calls:

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

rewrite210.0ms (3%)

Memory
15.8MiB live, 198.3MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044296
076265
1305261
22451253
08386248
132206248
Stop Event
saturated
node-limit
iter-limit
Counts
34 → 519
Calls
Call 1
Inputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (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
(sin.f64 th)
th
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(/.f64 ky kx)
#s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))))
(*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))
#s(literal -1/6 binary64)
(pow.f64 th #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
#s(approx (sin ky) ky)
(hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))
(fabs.f64 (sin.f64 kx))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx)))
(hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))
#s(approx (sin kx) kx)
Outputs
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky)))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky)))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 th) (sin.f64 ky))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) #s(literal -1 binary64))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (sin.f64 th))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 th) #s(literal -1 binary64)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(literal -1 binary64) (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(pow.f64 (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(neg.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(fabs.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
#s(literal 1 binary64)
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(sqrt.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(fabs.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(fabs.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))) (sin.f64 ky))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))) (sin.f64 ky))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (fabs.f64 (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))) (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 ky))) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))))
(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))) (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 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (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))) (neg.f64 (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))) (neg.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 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (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))) (neg.f64 (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))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 kx)))))
(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)) (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 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (fabs.f64 (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)) (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 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (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)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.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 (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (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)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.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 (sin.f64 ky) (neg.f64 (neg.f64 (neg.f64 (sin.f64 kx)))))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 (fabs.f64 (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) (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 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (neg.f64 (sin.f64 ky)))))
(hypot.f64 (sin.f64 kx) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(*.f64 (sin.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 th))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sin.f64 th))) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (sin.f64 th)) #s(literal 2 binary64))
(sin.f64 th)
th
(*.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx)))
#s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))
(*.f64 (/.f64 #s(literal 1 binary64) kx) ky)
(*.f64 (neg.f64 ky) (/.f64 #s(literal -1 binary64) kx))
(*.f64 ky (/.f64 #s(literal 1 binary64) kx))
(*.f64 #s(literal 1 binary64) (/.f64 ky kx))
(/.f64 (neg.f64 (*.f64 ky #s(literal 1 binary64))) (neg.f64 kx))
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(hypot.f64 #s(approx (sin kx) kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 #s(approx (sin kx) kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 (fabs.f64 #s(approx (sin kx) kx)))))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 (neg.f64 #s(approx (sin kx) kx)))))
(hypot.f64 (sin.f64 ky) (neg.f64 (fabs.f64 #s(approx (sin kx) kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 #s(approx (sin kx) kx))))
(hypot.f64 (sin.f64 ky) (fabs.f64 #s(approx (sin kx) kx)))
(hypot.f64 (sin.f64 ky) (neg.f64 #s(approx (sin kx) kx)))
(hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))
#s(approx (sin kx) kx)

eval77.0ms (1.1%)

Memory
40.4MiB live, 129.9MiB allocated; 11ms collecting garbage
Compiler

Compiled 8 262 to 2 477 computations (70% saved)

prune84.0ms (1.2%)

Memory
-17.7MiB live, 125.6MiB allocated; 17ms collecting garbage
Pruning

63 alts after pruning (56 fresh and 7 done)

PrunedKeptTotal
New64821669
Fresh113546
Picked235
Done044
Total66163724
Accuracy
100.0%
Counts
724 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.7%
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
96.0%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
58.7%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
39.4%
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
62.3%
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
52.6%
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
99.7%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
56.3%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
62.4%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
40.2%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
41.0%
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
39.1%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
54.7%
(*.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))))) #s(approx (sin th) th))
29.6%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
87.3%
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
23.1%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
22.8%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
30.7%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
30.4%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
18.4%
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (sin.f64 th))
40.1%
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
39.0%
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
39.3%
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
13.5%
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
13.9%
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
34.6%
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
51.4%
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
75.7%
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 th)) (sin.f64 ky))
99.4%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
65.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
41.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
41.8%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
43.9%
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (sin.f64 ky))
14.7%
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
95.9%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
22.0%
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
62.1%
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
37.2%
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
41.4%
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
27.8%
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
36.7%
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
99.6%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
75.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
41.8%
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
56.3%
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
24.2%
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
26.1%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
15.9%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
23.2%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
18.1%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
18.1%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
17.9%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
6.6%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
18.6%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
13.4%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
18.1%
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
21.8%
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
34.2%
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
52.3%
(*.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
35.0%
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
61.9%
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
35.0%
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
45.3%
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 2 209 to 1 534 computations (30.6% saved)

regimes298.0ms (4.3%)

Memory
-6.3MiB live, 363.7MiB allocated; 60ms collecting garbage
Counts
100 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
(*.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 th)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
Calls

9 calls:

65.0ms
th
34.0ms
(sin.f64 kx)
33.0ms
kx
28.0ms
(sin.f64 th)
28.0ms
(sin.f64 ky)
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 40 to 51 computations (-27.5% saved)

regimes206.0ms (3%)

Memory
13.0MiB live, 299.0MiB allocated; 24ms collecting garbage
Counts
87 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
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(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
(*.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
Outputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
Calls

9 calls:

26.0ms
(sin.f64 th)
24.0ms
kx
23.0ms
(sin.f64 kx)
23.0ms
(sin.f64 ky)
23.0ms
th
Results
AccuracySegmentsBranch
99.6%1(sin.f64 th)
99.6%1(sin.f64 kx)
99.6%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
99.6%1(sin.f64 ky)
99.6%1(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
99.6%1(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
99.6%1kx
99.6%1ky
99.6%1th
Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes243.0ms (3.5%)

Memory
29.2MiB live, 306.2MiB allocated; 56ms collecting garbage
Counts
86 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
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(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
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(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
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(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
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(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
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(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
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(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
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(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
(*.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

9 calls:

45.0ms
(sin.f64 th)
32.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
27.0ms
th
24.0ms
kx
23.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
82.7%3(sin.f64 th)
81.0%3(sin.f64 kx)
81.5%3(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
79.6%2(sin.f64 ky)
88.4%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
76.9%4(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
82.4%3kx
79.7%2ky
82.8%2th
Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes45.0ms (0.6%)

Memory
-6.2MiB live, 38.9MiB allocated; 6ms collecting garbage
Counts
84 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (fma.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64)))))))
(*.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

1 calls:

40.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
88.4%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes24.0ms (0.3%)

Memory
-21.2MiB live, 33.7MiB allocated; 6ms collecting garbage
Counts
75 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
Outputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

1 calls:

20.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
88.4%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes20.0ms (0.3%)

Memory
37.5MiB live, 37.5MiB allocated; 0ms collecting garbage
Counts
73 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (PI.f64))))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (+.f64 kx (/.f64 (PI.f64) #s(literal 2 binary64)))))))))) (sin.f64 th))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

1 calls:

17.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
88.4%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes23.0ms (0.3%)

Memory
-8.0MiB live, 34.4MiB allocated; 6ms collecting garbage
Counts
67 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
Outputs
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

1 calls:

20.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
88.3%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes21.0ms (0.3%)

Memory
-7.7MiB live, 37.1MiB allocated; 3ms collecting garbage
Counts
66 → 5
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
Outputs
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

1 calls:

17.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
88.3%5(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes768.0ms (11.1%)

Memory
-119.5MiB live, 262.3MiB allocated; 968ms collecting garbage
Counts
65 → 4
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
Outputs
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 ky) #s(approx (sin th) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

8 calls:

614.0ms
(sin.f64 th)
40.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
24.0ms
kx
19.0ms
ky
19.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
68.5%2(sin.f64 kx)
77.2%2(sin.f64 ky)
76.2%2ky
69.1%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
71.7%3kx
79.1%3(sin.f64 th)
79.2%2th
82.4%4(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 25 to 38 computations (-52% saved)

regimes104.0ms (1.5%)

Memory
-0.6MiB live, 145.9MiB allocated; 10ms collecting garbage
Counts
64 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
(*.f64 (*.f64 #s(approx (sin th) th) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))))))
(*.f64 (sin.f64 ky) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th)) (sin.f64 ky))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) (*.f64 #s(literal 2 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 th ky))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
Calls

6 calls:

18.0ms
ky
18.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
17.0ms
th
16.0ms
(sin.f64 th)
16.0ms
(sin.f64 ky)
Results
AccuracySegmentsBranch
66.0%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))
66.0%1ky
72.5%2(sin.f64 ky)
66.0%1(sin.f64 th)
67.8%2th
74.1%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 33 to 38 computations (-15.2% saved)

regimes16.0ms (0.2%)

Memory
-20.8MiB live, 24.0MiB allocated; 5ms collecting garbage
Counts
48 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
Calls

1 calls:

14.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
74.1%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes14.0ms (0.2%)

Memory
26.6MiB live, 26.6MiB allocated; 0ms collecting garbage
Counts
47 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
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(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) (hypot.f64 #s(approx (sin ky) (*.f64 ky (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 ky #s(literal 2 binary64)))))) #s(approx (sin kx) kx))) (sin.f64 th))
Outputs
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
Calls

1 calls:

11.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
72.5%2(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes36.0ms (0.5%)

Memory
-21.1MiB live, 28.3MiB allocated; 23ms collecting garbage
Counts
44 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (-.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)))
(*.f64 (*.f64 #s(approx (sin th) th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin kx) kx) (sin.f64 ky))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 ky (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 kx #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
Calls

2 calls:

11.0ms
(sin.f64 ky)
11.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Results
AccuracySegmentsBranch
71.8%2(sin.f64 ky)
71.8%2(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
Compiler

Compiled 14 to 15 computations (-7.1% saved)

regimes73.0ms (1.1%)

Memory
-1.0MiB live, 130.7MiB allocated; 21ms collecting garbage
Counts
33 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) #s(approx (sin ky) ky)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
Outputs
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
Calls

7 calls:

13.0ms
(sin.f64 ky)
12.0ms
(sin.f64 kx)
12.0ms
ky
9.0ms
kx
9.0ms
th
Results
AccuracySegmentsBranch
66.0%1ky
66.0%1th
66.0%1(sin.f64 kx)
66.0%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
66.0%1kx
66.0%1(sin.f64 ky)
66.0%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)))))
Compiler

Compiled 23 to 34 computations (-47.8% saved)

regimes109.0ms (1.6%)

Memory
11.8MiB live, 110.1MiB allocated; 30ms collecting garbage
Counts
30 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 ky (sin.f64 th))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (* (sin th) (sin ky)) (*.f64 th (sin.f64 ky))) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))) ky)) (sin.f64 th))
(*.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) (*.f64 kx (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 kx #s(literal 2 binary64)))))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))) #s(literal 1/2 binary64)))))) (sin.f64 th))
Outputs
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
(*.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

9 calls:

37.0ms
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
14.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
8.0ms
kx
8.0ms
(sin.f64 ky)
8.0ms
th
Results
AccuracySegmentsBranch
57.8%3(sin.f64 ky)
58.9%3th
66.4%3(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
55.6%3(sin.f64 th)
64.0%3(sin.f64 kx)
64.0%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
60.9%4(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
64.1%2kx
56.5%2ky
Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes83.0ms (1.2%)

Memory
22.5MiB live, 111.6MiB allocated; 19ms collecting garbage
Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
Outputs
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))))
Calls

8 calls:

39.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
9.0ms
th
6.0ms
(sin.f64 kx)
6.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
6.0ms
kx
Results
AccuracySegmentsBranch
51.4%1(sin.f64 ky)
51.4%1ky
55.2%2th
54.9%3(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
55.4%3(sin.f64 kx)
55.4%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
55.6%2kx
51.4%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)))))
Compiler

Compiled 38 to 47 computations (-23.7% saved)

regimes21.0ms (0.3%)

Memory
-19.5MiB live, 37.6MiB allocated; 7ms collecting garbage
Counts
19 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 (+.f64 ky (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 kx #s(literal 2 binary64)) ky))) kx))) (sin.f64 th))
(*.f64 #s(approx (sin ky) ky) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
Outputs
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

3 calls:

9.0ms
kx
5.0ms
th
5.0ms
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
55.2%2th
54.4%2(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
54.7%2kx
Compiler

Compiled 6 to 12 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Counts
15 → 2
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 #s(approx (sin kx) kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(approx (sin th) th))
(*.f64 #s(approx (sin ky) ky) (/.f64 #s(approx (sin th) (*.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
Outputs
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

1 calls:

4.0ms
th
Results
AccuracySegmentsBranch
55.1%2th
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes25.0ms (0.4%)

Memory
6.0MiB live, 48.9MiB allocated; 5ms collecting garbage
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
Outputs
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))) (sin.f64 th))
Calls

6 calls:

7.0ms
th
4.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
4.0ms
kx
4.0ms
(sin.f64 kx)
4.0ms
(sin.f64 th)
Results
AccuracySegmentsBranch
51.4%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))
51.4%1(sin.f64 kx)
51.4%1(sin.f64 th)
51.4%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
51.4%1kx
51.4%1th
Compiler

Compiled 25 to 33 computations (-32% saved)

regimes58.0ms (0.8%)

Memory
-3.5MiB live, 41.5MiB allocated; 3ms collecting garbage
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) (*.f64 (pow.f64 th #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 th #s(literal 2 binary64))) #s(literal 1/6 binary64)))))))
Outputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) (sin.f64 th))
Calls

9 calls:

33.0ms
(sin.f64 th)
3.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
3.0ms
(sin.f64 kx)
3.0ms
th
3.0ms
kx
Results
AccuracySegmentsBranch
23.2%1(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
23.2%1kx
23.2%1(sin.f64 kx)
23.2%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
23.2%1(sin.f64 ky)
23.2%1(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
23.2%1ky
23.2%1th
23.2%1(sin.f64 th)
Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes59.0ms (0.9%)

Memory
0.2MiB live, 45.5MiB allocated; 4ms collecting garbage
Accuracy

Total -3.9b remaining (-7.6%)

Threshold costs -3.9b (-7.6%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 th th) (*.f64 #s(literal -1/6 binary64) th) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (fma.f64 (*.f64 (*.f64 th th) th) #s(literal -1/6 binary64) th)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) #s(approx (* th (+ 1 (* -1/6 (pow th 2)))) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 3 binary64))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (*.f64 (/.f64 #s(literal 1 binary64) kx) ky))) #s(approx (sin th) (*.f64 th (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 th #s(literal 2 binary64)))))))
Outputs
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(approx (/ ky (sqrt (pow (sin kx) 2))) (/.f64 ky kx))) #s(approx (sin th) (*.f64 th #s(approx (+ 1 (* -1/6 (pow th 2))) #s(literal 1 binary64)))))
Calls

9 calls:

40.0ms
ky
2.0ms
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
2.0ms
kx
2.0ms
(sin.f64 kx)
2.0ms
th
Results
AccuracySegmentsBranch
18.6%1(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
18.6%1kx
18.6%1(sin.f64 ky)
18.6%1(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
18.6%1(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
18.6%1(sin.f64 kx)
18.6%1ky
18.6%1th
18.6%1(sin.f64 th)
Compiler

Compiled 40 to 51 computations (-27.5% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999998354784
1.0
0.0ms
0.4132174554627381
0.467455180750566
0.0ms
-0.20865977518463047
-0.12396696098187632
0.0ms
-0.9841765212746224
-0.9617063783269848
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999998354784
1.0
0.0ms
0.4132174554627381
0.467455180750566
0.0ms
-0.20865977518463047
-0.12396696098187632
0.0ms
-0.9841765212746224
-0.9617063783269848
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999998354784
1.0
0.0ms
0.4132174554627381
0.467455180750566
0.0ms
-0.20865977518463047
-0.12396696098187632
0.0ms
-0.9841765212746224
-0.9617063783269848
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999998354784
1.0
0.0ms
0.4132174554627381
0.467455180750566
0.0ms
-0.20865977518463047
-0.12396696098187632
0.0ms
-1.0
-0.9841765212746224
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch10.0ms (0.1%)

Memory
-46.9MiB live, 2.1MiB allocated; 15ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999998354784
1.0
0.0ms
0.4132174554627381
0.467455180750566
0.0ms
-0.20865977518463047
-0.12396696098187632
9.0ms
-1.0
-0.9841765212746224
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999998354784
1.0
0.0ms
0.4132174554627381
0.467455180750566
0.0ms
-0.20865977518463047
-0.12396696098187632
0.0ms
-1.0
-0.9841765212746224
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999999998354784
1.0
0.0ms
0.4132174554627381
0.467455180750566
0.0ms
-0.20865977518463047
-0.12396696098187632
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7070854136669119
0.7082180885206935
0.0ms
-1.0
-0.9841765212746224
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.7070854136669119
0.7082180885206935
0.0ms
-1.0
-0.9841765212746224
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.12396696098187632
-0.11015599305262293
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.018928162888514406
1.9552048390688446e-306
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1573338955370182e-6
0.3171811332175662
0.0ms
-0.12396696098187632
-0.11015599305262293
Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch22.0ms (0.3%)

Memory
0.4MiB live, 43.5MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
30264516933143584.0
163360957801038400.0
Samples
17.0ms96×0valid
Compiler

Compiled 205 to 204 computations (0.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 11.0ms (76.4% of total)
ival-pow2: 2.0ms (13.9% of total)
ival-sqrt: 1.0ms (6.9% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
42.5MiB live, 42.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
97998202.21786647
346578164.2497329
Samples
11.0ms80×0valid
Compiler

Compiled 169 to 158 computations (6.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sin: 6.0ms (69% of total)
ival-sqrt: 1.0ms (11.5% of total)
ival-pow2: 1.0ms (11.5% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

bsearch31.0ms (0.5%)

Memory
-34.6MiB live, 52.8MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
346578164.2497329
22430184445.1237
Samples
18.0ms112×0valid
Compiler

Compiled 264 to 249 computations (5.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 11.0ms (75% of total)
ival-pow2: 2.0ms (13.6% of total)
ival-sqrt: 1.0ms (6.8% of total)
adjust: 0.0ms (0% of total)
ival-add!: 0.0ms (0% of total)
ival-div!: 0.0ms (0% of total)
ival-mult!: 0.0ms (0% of total)

derivations236.0ms (3.4%)

Memory
-7.5MiB live, 252.0MiB allocated; 66ms collecting garbage
Stop Event
fuel
Compiler

Compiled 336 to 149 computations (55.7% saved)

preprocess787.0ms (11.4%)

Memory
44.4MiB live, 1 263.9MiB allocated; 212ms collecting garbage
Remove

(negabs th)

(negabs ky)

Compiler

Compiled 7 573 to 5 604 computations (26% saved)

end0.0ms (0%)

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

Profiling

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